28879600 has 120 divisors (see below), whose sum is σ = 76387968. Its totient is φ = 10444800.

The previous prime is 28879589. The next prime is 28879649. The reversal of 28879600 is 697882.

28879600 = 18² + 19² + ... + 442².

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 210732 + ... + 210868.

Almost surely, 2^28879600 is an apocalyptic number.

28879600 is a gapful number since it is divisible by the number (20) 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 28879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193984).

28879600 is an abundant number, since it is smaller than the sum of its proper divisors (47508368).

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

28879600 is a wasteful number, since it uses less digits than its factorization.

28879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 28879600 is about 5373.9743207425. The cubic root of 28879600 is about 306.8059123996.

The spelling of 28879600 in words is "twenty-eight million, eight hundred seventy-nine thousand, six hundred".