288938496 has 240 divisors, whose sum is σ = 979624800. Its totient is φ = 74833920.

The previous prime is 288938483. The next prime is 288938537. The reversal of 288938496 is 694839882.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827730 + ... + 828078.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2^288938496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489812400).

288938496 is an abundant number, since it is smaller than the sum of its proper divisors (690686304).

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

288938496 is a wasteful number, since it uses less digits than its factorization.

288938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The square root of 288938496 is about 16998.1909625701. The cubic root of 288938496 is about 661.1019973625.

The spelling of 288938496 in words is "two hundred eighty-eight million, nine hundred thirty-eight thousand, four hundred ninety-six".