28931158080 has 504 divisors, whose sum is σ = 111254801112. Its totient is φ = 6893568000.

The previous prime is 28931158079. The next prime is 28931158159. The reversal of 28931158080 is 8085113982.

It is a happy number.

28931158080 is a `hidden beast` number, since 289 + 311 + 58 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 739404864 + 28191753216 = 27192^2 + 167904^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 71 ways as a sum of consecutive naturals, for example, 21256600 + ... + 21257960.

It is an arithmetic number, because the mean of its divisors is an integer number (220743653).

Almost surely, 2^28931158080 is an apocalyptic number.

28931158080 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 28931158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55627400556).

28931158080 is an abundant number, since it is smaller than the sum of its proper divisors (82323643032).

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

28931158080 is a wasteful number, since it uses less digits than its factorization.

28931158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 28931158080 in words is "twenty-eight billion, nine hundred thirty-one million, one hundred fifty-eight thousand, eighty".