28535760 has 160 divisors (see below), whose sum is σ = 107314560. Its totient is φ = 6912000.

The previous prime is 28535737. The next prime is 28535807. The reversal of 28535760 is 6753582.

28535760 is a `hidden beast` number, since 2 + 85 + 3 + 576 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 23160 + ... + 24360.

It is an arithmetic number, because the mean of its divisors is an integer number (670716).

Almost surely, 2^28535760 is an apocalyptic number.

28535760 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 28535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657280).

28535760 is an abundant number, since it is smaller than the sum of its proper divisors (78778800).

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

28535760 is a wasteful number, since it uses less digits than its factorization.

28535760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

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

The square root of 28535760 is about 5341.8873069356. The cubic root of 28535760 is about 305.5834393409.

The spelling of 28535760 in words is "twenty-eight million, five hundred thirty-five thousand, seven hundred sixty".