28553580 has 288 divisors, whose sum is σ = 107251200. Its totient is φ = 6272640.

The previous prime is 28553579. The next prime is 28553597. The reversal of 28553580 is 8535582.

28553580 is a `hidden beast` number, since 28 + 5 + 53 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1241449 + ... + 1241471.

It is an arithmetic number, because the mean of its divisors is an integer number (372400).

Almost surely, 2^28553580 is an apocalyptic number.

28553580 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 28553580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

28553580 is an abundant number, since it is smaller than the sum of its proper divisors (78697620).

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

28553580 is a wasteful number, since it uses less digits than its factorization.

28553580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 28553580 is about 5343.5549964420. The cubic root of 28553580 is about 305.6470363124.

The spelling of 28553580 in words is "twenty-eight million, five hundred fifty-three thousand, five hundred eighty".