288895500100 has 81 divisors (see below), whose sum is σ = 638409584701. Its totient is φ = 113474888800.

The previous prime is 288895500097. The next prime is 288895500109. The reversal of 288895500100 is 1005598882.

The square root of 288895500100 is 537490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 104002380036 + 184893120064 = 322494^2 + 429992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288895500109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 317118645 + ... + 317119555.

Almost surely, 2^288895500100 is an apocalyptic number.

288895500100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

288895500100 is the 537490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288895500100

288895500100 is an abundant number, since it is smaller than the sum of its proper divisors (349514084601).

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

288895500100 is an frugal number, since it uses more digits than its factorization.

288895500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 46.

The spelling of 288895500100 in words is "two hundred eighty-eight billion, eight hundred ninety-five million, five hundred thousand, one hundred".