288031872468 has 24 divisors (see below), whose sum is σ = 673532244000. Its totient is φ = 95802356320.

The previous prime is 288031872467. The next prime is 288031872523. The reversal of 288031872468 is 864278130882.

It is a super-2 number, since 2×288031872468² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288031872467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26027718 + ... + 26038781.

It is an arithmetic number, because the mean of its divisors is an integer number (28063843500).

Almost surely, 2^288031872468 is an apocalyptic number.

It is an amenable number.

288031872468 is an abundant number, since it is smaller than the sum of its proper divisors (385500371532).

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

288031872468 is a wasteful number, since it uses less digits than its factorization.

288031872468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52066967 (or 52066965 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 288031872468 in words is "two hundred eighty-eight billion, thirty-one million, eight hundred seventy-two thousand, four hundred sixty-eight".