51828800 has 84 divisors (see below), whose sum is σ = 132046980. Its totient is φ = 19998720.

The previous prime is 51828781. The next prime is 51828809. The reversal of 51828800 is 882815.

It can be written as a sum of positive squares in 6 ways, for example, as 8479744 + 43349056 = 2912^2 + 6584^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (51828809) 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, 45842 + ... + 46958.

Almost surely, 2^51828800 is an apocalyptic number.

51828800 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 51828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66023490).

51828800 is an abundant number, since it is smaller than the sum of its proper divisors (80218180).

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

51828800 is a wasteful number, since it uses less digits than its factorization.

51828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 51828800 is about 7199.2221802081. Note that the first 3 decimals coincide. The cubic root of 51828800 is about 372.8410461538.

The spelling of 51828800 in words is "fifty-one million, eight hundred twenty-eight thousand, eight hundred".