288877056 has 320 divisors, whose sum is σ = 940439808. Its totient is φ = 77856768.

The previous prime is 288877049. The next prime is 288877063. The reversal of 288877056 is 650778882.

It is an interprime number because it is at equal distance from previous prime (288877049) and next prime (288877063).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7807470 + ... + 7807506.

Almost surely, 2^288877056 is an apocalyptic number.

288877056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288877056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470219904).

288877056 is an abundant number, since it is smaller than the sum of its proper divisors (651562752).

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

288877056 is a wasteful number, since it uses less digits than its factorization.

288877056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The square root of 288877056 is about 16996.3836153459. The cubic root of 288877056 is about 661.0551350410.

The spelling of 288877056 in words is "two hundred eighty-eight million, eight hundred seventy-seven thousand, fifty-six".