28575167040 has 896 divisors, whose sum is σ = 123168460800. Its totient is φ = 6167549952.

The previous prime is 28575167029. The next prime is 28575167063. The reversal of 28575167040 is 4076157582.

28575167040 is a `hidden beast` number, since 2 + 8 + 575 + 1 + 6 + 70 + 4 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 93078567 + ... + 93078873.

It is an arithmetic number, because the mean of its divisors is an integer number (137464800).

Almost surely, 2^28575167040 is an apocalyptic number.

28575167040 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 28575167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61584230400).

28575167040 is an abundant number, since it is smaller than the sum of its proper divisors (94593293760).

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

28575167040 is an equidigital number, since it uses as much as digits as its factorization.

28575167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 28575167040 in words is "twenty-eight billion, five hundred seventy-five million, one hundred sixty-seven thousand, forty".