28528174080 has 880 divisors, whose sum is σ = 120982219776. Its totient is φ = 6290472960.

The previous prime is 28528174063. The next prime is 28528174117. The reversal of 28528174080 is 8047182582.

It is a happy number.

28528174080 is a `hidden beast` number, since 2 + 8 + 528 + 1 + 7 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89994082 + ... + 89994398.

Almost surely, 2^28528174080 is an apocalyptic number.

28528174080 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 28528174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60491109888).

28528174080 is an abundant number, since it is smaller than the sum of its proper divisors (92454045696).

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

28528174080 is a wasteful number, since it uses less digits than its factorization.

28528174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 28528174080 in words is "twenty-eight billion, five hundred twenty-eight million, one hundred seventy-four thousand, eighty".