288802200820 has 48 divisors (see below), whose sum is σ = 717026163840. Its totient is φ = 95603485824.

The previous prime is 288802200773. The next prime is 288802200851. The reversal of 288802200820 is 28002208882.

It is a super-2 number, since 2×288802200820² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35562714 + ... + 35570833.

It is an arithmetic number, because the mean of its divisors is an integer number (14938045080).

Almost surely, 2^288802200820 is an apocalyptic number.

288802200820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288802200820 is an abundant number, since it is smaller than the sum of its proper divisors (428223963020).

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

288802200820 is a wasteful number, since it uses less digits than its factorization.

288802200820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71133592 (or 71133590 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 288802200820 in words is "two hundred eighty-eight billion, eight hundred two million, two hundred thousand, eight hundred twenty".