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28889669664 = 2532401250153
BaseRepresentation
bin11010111001111101…
…010110000000100000
32202120101000021111100
4122321331112000200
5433131223412124
621134405514400
72041625066112
oct327175260040
982511007440
1028889669664
1111285513459
125723112a00
1329553383bb
141580bbb3b2
15b414021c9
hex6b9f56020

28889669664 has 72 divisors (see below), whose sum is σ = 82360202652. Its totient is φ = 9605836800.

The previous prime is 28889669663. The next prime is 28889669687. The reversal of 28889669664 is 46696698882.

It can be written as a sum of positive squares in 2 ways, for example, as 26403650064 + 2486019600 = 162492^2 + 49860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×288896696642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28889669592 and 28889669601.

It is not an unprimeable number, because it can be changed into a prime (28889669663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9589 + ... + 240564.

Almost surely, 228889669664 is an apocalyptic number.

28889669664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28889669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41180101326).

28889669664 is an abundant number, since it is smaller than the sum of its proper divisors (53470532988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28889669664 is a wasteful number, since it uses less digits than its factorization.

28889669664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250570 (or 250559 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 28889669664 in words is "twenty-eight billion, eight hundred eighty-nine million, six hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 401 802 1203 1604 2406 3208 3609 4812 6416 7218 9624 12832 14436 19248 28872 38496 57744 115488 250153 500306 750459 1000612 1500918 2001224 2251377 3001836 4002448 4502754 6003672 8004896 9005508 12007344 18011016 24014688 36022032 72044064 100311353 200622706 300934059 401245412 601868118 802490824 902802177 1203736236 1604981648 1805604354 2407472472 3209963296 3611208708 4814944944 7222417416 9629889888 14444834832 28889669664