28792800 has 288 divisors, whose sum is σ = 109992960. Its totient is φ = 7257600.

The previous prime is 28792763. The next prime is 28792807. The reversal of 28792800 is 829782.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28792807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669579 + ... + 669621.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 2^28792800 is an apocalyptic number.

28792800 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 28792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

28792800 is an abundant number, since it is smaller than the sum of its proper divisors (81200160).

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

28792800 is a wasteful number, since it uses less digits than its factorization.

28792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28792800 is about 5365.8922836747. The cubic root of 28792800 is about 306.4982271807.

It can be divided in two parts, 28792 and 800, that added together give a palindrome (29592).

The spelling of 28792800 in words is "twenty-eight million, seven hundred ninety-two thousand, eight hundred".