28475600 has 60 divisors (see below), whose sum is σ = 68926764. Its totient is φ = 11304960.

The previous prime is 28475591. The next prime is 28475669. The reversal of 28475600 is 657482.

It can be written as a sum of positive squares in 6 ways, for example, as 2704 + 28472896 = 52^2 + 5336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102662 + ... + 102938.

Almost surely, 2^28475600 is an apocalyptic number.

28475600 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 28475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34463382).

28475600 is an abundant number, since it is smaller than the sum of its proper divisors (40451164).

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

28475600 is a wasteful number, since it uses less digits than its factorization.

28475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 28475600 is about 5336.2533672981. The cubic root of 28475600 is about 305.3685413318.

The spelling of 28475600 in words is "twenty-eight million, four hundred seventy-five thousand, six hundred".