28800688 has 40 divisors (see below), whose sum is σ = 64272672. Its totient is φ = 12246528.

The previous prime is 28800671. The next prime is 28800697. The reversal of 28800688 is 88600882.

It is a self number, because there is not a number n which added to its sum of digits gives 28800688.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14406 + ... + 16282.

Almost surely, 2^28800688 is an apocalyptic number.

28800688 is a gapful number since it is divisible by the number (28) 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 28800688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32136336).

28800688 is an abundant number, since it is smaller than the sum of its proper divisors (35471984).

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

28800688 is a wasteful number, since it uses less digits than its factorization.

28800688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 28800688 is about 5366.6272462320. The cubic root of 28800688 is about 306.5262137754.

The spelling of 28800688 in words is "twenty-eight million, eight hundred thousand, six hundred eighty-eight".