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28429344 = 253298713
BaseRepresentation
bin110110001110…
…0110000100000
31222111100201200
41230130300200
524234214334
62453201200
7463434246
oct154346040
958440650
1028429344
1115058429
129630200
135b750c8
143ac0796
152768799
hex1b1cc20

28429344 has 36 divisors (see below), whose sum is σ = 80846766. Its totient is φ = 9476352.

The previous prime is 28429337. The next prime is 28429351. The reversal of 28429344 is 44392482.

It is an interprime number because it is at equal distance from previous prime (28429337) and next prime (28429351).

It can be written as a sum of positive squares in only one way, i.e., 17539344 + 10890000 = 4188^2 + 3300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 28429299 and 28429308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49069 + ... + 49644.

Almost surely, 228429344 is an apocalyptic number.

28429344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28429344 is an abundant number, since it is smaller than the sum of its proper divisors (52417422).

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

28429344 is a wasteful number, since it uses less digits than its factorization.

28429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98729 (or 98718 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28429344 is about 5331.9174787313. The cubic root of 28429344 is about 305.2031039926.

The spelling of 28429344 in words is "twenty-eight million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 98713 197426 296139 394852 592278 789704 888417 1184556 1579408 1776834 2369112 3158816 3553668 4738224 7107336 9476448 14214672 28429344