288987112900 has 72 divisors (see below), whose sum is σ = 630332156160. Its totient is φ = 115000381440.

The previous prime is 288987112879. The next prime is 288987112901. The reversal of 288987112900 is 9211789882.

It is a super-4 number, since 4×288987112900⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (288987112901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27551457 + ... + 27561943.

It is an arithmetic number, because the mean of its divisors is an integer number (8754613280).

Almost surely, 2^288987112900 is an apocalyptic number.

288987112900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288987112900 is an abundant number, since it is smaller than the sum of its proper divisors (341345043260).

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

288987112900 is a wasteful number, since it uses less digits than its factorization.

288987112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 55.

The spelling of 288987112900 in words is "two hundred eighty-eight billion, nine hundred eighty-seven million, one hundred twelve thousand, nine hundred".