51228800 has 96 divisors (see below), whose sum is σ = 144693120. Its totient is φ = 17556480.

The previous prime is 51228799. The next prime is 51228809. The reversal of 51228800 is 882215.

It is a super-3 number, since 3×51228800³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51228800.

It is not an unprimeable number, because it can be changed into a prime (51228809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21257 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (1507220).

Almost surely, 2^51228800 is an apocalyptic number.

51228800 is a gapful number since it is divisible by the number (50) 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 51228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72346560).

51228800 is an abundant number, since it is smaller than the sum of its proper divisors (93464320).

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

51228800 is a wasteful number, since it uses less digits than its factorization.

51228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 51228800 is about 7157.4297062563. The cubic root of 51228800 is about 371.3967174711.

It can be divided in two parts, 512 and 28800, that multiplied together give a square (14745600 = 3840²).

The spelling of 51228800 in words is "fifty-one million, two hundred twenty-eight thousand, eight hundred".