28192800 has 144 divisors (see below), whose sum is σ = 97306272. Its totient is φ = 7065600.

The previous prime is 28192799. The next prime is 28192807. The reversal of 28192800 is 829182.

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

It is not an unprimeable number, because it can be changed into a prime (28192807) 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, 40455 + ... + 41145.

It is an arithmetic number, because the mean of its divisors is an integer number (675738).

Almost surely, 2^28192800 is an apocalyptic number.

28192800 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 28192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48653136).

28192800 is an abundant number, since it is smaller than the sum of its proper divisors (69113472).

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

28192800 is a wasteful number, since it uses less digits than its factorization.

28192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 28192800 is about 5309.6892564443. The cubic root of 28192800 is about 304.3542730371.

The spelling of 28192800 in words is "twenty-eight million, one hundred ninety-two thousand, eight hundred".