28588560 has 480 divisors, whose sum is σ = 128241792. Its totient is φ = 5160960.

The previous prime is 28588537. The next prime is 28588579. The reversal of 28588560 is 6588582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681672 + ... + 1681688.

Almost surely, 2^28588560 is an apocalyptic number.

28588560 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 28588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896).

28588560 is an abundant number, since it is smaller than the sum of its proper divisors (99653232).

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

28588560 is a wasteful number, since it uses less digits than its factorization.

28588560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 28588560 is about 5346.8270965125. The cubic root of 28588560 is about 305.7717979051.

The spelling of 28588560 in words is "twenty-eight million, five hundred eighty-eight thousand, five hundred sixty".