28868400 has 270 divisors, whose sum is σ = 113486412. Its totient is φ = 6998400.

The previous prime is 28868383. The next prime is 28868407. The reversal of 28868400 is 486882.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28868407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624395 + ... + 2624405.

Almost surely, 2^28868400 is an apocalyptic number.

28868400 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 28868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56743206).

28868400 is an abundant number, since it is smaller than the sum of its proper divisors (84618012).

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

28868400 is an equidigital number, since it uses as much as digits as its factorization.

28868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28868400 is about 5372.9321603757. The cubic root of 28868400 is about 306.7662457546.

The spelling of 28868400 in words is "twenty-eight million, eight hundred sixty-eight thousand, four hundred".