82288400 has 30 divisors (see below), whose sum is σ = 197698842. Its totient is φ = 32915200.

The previous prime is 82288357. The next prime is 82288429. The reversal of 82288400 is 488228.

It can be written as a sum of positive squares in 3 ways, for example, as 10445824 + 71842576 = 3232^2 + 8476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102461 + ... + 103260.

Almost surely, 2^82288400 is an apocalyptic number.

82288400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82288400 is an abundant number, since it is smaller than the sum of its proper divisors (115410442).

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

82288400 is a wasteful number, since it uses less digits than its factorization.

82288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205739 (or 205728 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 82288400 is about 9071.2953870988. The cubic root of 82288400 is about 434.9568812680.

The spelling of 82288400 in words is "eighty-two million, two hundred eighty-eight thousand, four hundred".