51328200 has 288 divisors, whose sum is σ = 201862080. Its totient is φ = 10560000.

The previous prime is 51328181. The next prime is 51328217. The reversal of 51328200 is 282315.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 508150 + ... + 508250.

It is an arithmetic number, because the mean of its divisors is an integer number (700910).

Almost surely, 2^51328200 is an apocalyptic number.

51328200 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 51328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

51328200 is an abundant number, since it is smaller than the sum of its proper divisors (150533880).

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

51328200 is a wasteful number, since it uses less digits than its factorization.

51328200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51328200 is about 7164.3701746909. The cubic root of 51328200 is about 371.6367711302.

The spelling of 51328200 in words is "fifty-one million, three hundred twenty-eight thousand, two hundred".