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28728784 = 2471791433
BaseRepresentation
bin110110110010…
…1110111010000
32000001120111001
41231211313100
524323310114
62503431344
7466122250
oct155456720
960046431
1028728784
11152423a7
129755554
135c4b4a6
143b5b960
1527c7374
hex1b65dd0

28728784 has 40 divisors (see below), whose sum is σ = 64013760. Its totient is φ = 12235008.

The previous prime is 28728769. The next prime is 28728787. The reversal of 28728784 is 48782782.

It is a super-3 number, since 3×287287843 (a number of 23 digits) contains 333 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28728787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19332 + ... + 20764.

It is an arithmetic number, because the mean of its divisors is an integer number (1600344).

Almost surely, 228728784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28728784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006880).

28728784 is an abundant number, since it is smaller than the sum of its proper divisors (35284976).

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

28728784 is a wasteful number, since it uses less digits than its factorization.

28728784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its digits is 401408, while the sum is 46.

The square root of 28728784 is about 5359.9238800565. The cubic root of 28728784 is about 306.2709093595.

The spelling of 28728784 in words is "twenty-eight million, seven hundred twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 716 1253 1432 1433 2506 2864 2866 5012 5732 10024 10031 11464 20048 20062 22928 40124 80248 160496 256507 513014 1026028 1795549 2052056 3591098 4104112 7182196 14364392 28728784