28558400 has 84 divisors (see below), whose sum is σ = 75732132. Its totient is φ = 10536960.

The previous prime is 28558399. The next prime is 28558441. The reversal of 28558400 is 485582.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 28558336 = 8^2 + 5344^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 20114 + ... + 21486.

It is an arithmetic number, because the mean of its divisors is an integer number (901573).

Almost surely, 2^28558400 is an apocalyptic number.

28558400 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 28558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866066).

28558400 is an abundant number, since it is smaller than the sum of its proper divisors (47173732).

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

28558400 is a wasteful number, since it uses less digits than its factorization.

28558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 28558400 is about 5344.0059880206. The cubic root of 28558400 is about 305.6642336402.

It can be divided in two parts, 285 and 58400, that added together give a palindrome (58685).

The spelling of 28558400 in words is "twenty-eight million, five hundred fifty-eight thousand, four hundred".