2928800 has 72 divisors (see below), whose sum is σ = 8186976. Its totient is φ = 1002240.

The previous prime is 2928791. The next prime is 2928817. The reversal of 2928800 is 88292.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5339 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (113708).

2^2928800 is an apocalyptic number.

2928800 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 2928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093488).

2928800 is an abundant number, since it is smaller than the sum of its proper divisors (5258176).

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

2928800 is a wasteful number, since it uses less digits than its factorization.

2928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2928800 is about 1711.3737172225. The cubic root of 2928800 is about 143.0748300224.

The spelling of 2928800 in words is "two million, nine hundred twenty-eight thousand, eight hundred".