28372800 has 168 divisors, whose sum is σ = 97511616. Its totient is φ = 7208960.

The previous prime is 28372793. The next prime is 28372801. The reversal of 28372800 is 827382.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28372801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110272 + ... + 110528.

Almost surely, 2^28372800 is an apocalyptic number.

28372800 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 28372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755808).

28372800 is an abundant number, since it is smaller than the sum of its proper divisors (69138816).

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

28372800 is a wasteful number, since it uses less digits than its factorization.

28372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 28372800 is about 5326.6124319308. The cubic root of 28372800 is about 305.0006270703. Note that the first 3 decimals are identical.

The spelling of 28372800 in words is "twenty-eight million, three hundred seventy-two thousand, eight hundred".