28876800 has 168 divisors, whose sum is σ = 97511616. Its totient is φ = 7536640.

The previous prime is 28876781. The next prime is 28876807. The reversal of 28876800 is 867882.

It is not an unprimeable number, because it can be changed into a prime (28876807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614377 + ... + 614423.

Almost surely, 2^28876800 is an apocalyptic number.

28876800 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 28876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755808).

28876800 is an abundant number, since it is smaller than the sum of its proper divisors (68634816).

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

28876800 is an equidigital number, since it uses as much as digits as its factorization.

28876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 28876800 is about 5373.7137995989. The cubic root of 28876800 is about 306.7959966999.

The spelling of 28876800 in words is "twenty-eight million, eight hundred seventy-six thousand, eight hundred".