28705600 has 168 divisors, whose sum is σ = 88440768. Its totient is φ = 8908800.

The previous prime is 28705591. The next prime is 28705601. The reversal of 28705600 is 650782.

It is a super-2 number, since 2×28705600² = 1648022942720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28705601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123084 + ... + 123316.

Almost surely, 2^28705600 is an apocalyptic number.

28705600 is a gapful number since it is divisible by the number (20) 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 28705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220384).

28705600 is an abundant number, since it is smaller than the sum of its proper divisors (59735168).

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

28705600 is a wasteful number, since it uses less digits than its factorization.

28705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 28705600 is about 5357.7607262736. The cubic root of 28705600 is about 306.1885007705.

The spelling of 28705600 in words is "twenty-eight million, seven hundred five thousand, six hundred".