288628632 has 96 divisors (see below), whose sum is σ = 800616960. Its totient is φ = 93912000.

The previous prime is 288628603. The next prime is 288628657. The reversal of 288628632 is 236826882.

288628632 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 2 + 8 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669457 + ... + 669887.

It is an arithmetic number, because the mean of its divisors is an integer number (8339760).

Almost surely, 2^288628632 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 288628632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400308480).

288628632 is an abundant number, since it is smaller than the sum of its proper divisors (511988328).

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

288628632 is a wasteful number, since it uses less digits than its factorization.

288628632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 288628632 is about 16989.0739005986. The cubic root of 288628632 is about 660.8655860559.

The spelling of 288628632 in words is "two hundred eighty-eight million, six hundred twenty-eight thousand, six hundred thirty-two".