28575360 has 288 divisors, whose sum is σ = 111105540. Its totient is φ = 6758400.

The previous prime is 28575343. The next prime is 28575377. The reversal of 28575360 is 6357582.

28575360 is a `hidden beast` number, since 28 + 575 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (28575343) and next prime (28575377).

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 3415104 = 5016^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 696940 + ... + 696980.

Almost surely, 2^28575360 is an apocalyptic number.

28575360 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 28575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552770).

28575360 is an abundant number, since it is smaller than the sum of its proper divisors (82530180).

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

28575360 is a wasteful number, since it uses less digits than its factorization.

28575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 28575360 is about 5345.5925770676. The cubic root of 28575360 is about 305.7247300210.

The spelling of 28575360 in words is "twenty-eight million, five hundred seventy-five thousand, three hundred sixty".