51828120 has 128 divisors (see below), whose sum is σ = 177566400. Its totient is φ = 13436928.

The previous prime is 51828109. The next prime is 51828149. The reversal of 51828120 is 2182815.

51828120 is a `hidden beast` number, since 518 + 28 + 120 = 666.

51828120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39312 + ... + 40608.

Almost surely, 2^51828120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88783200).

51828120 is an abundant number, since it is smaller than the sum of its proper divisors (125738280).

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

51828120 is a wasteful number, since it uses less digits than its factorization.

51828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51828120 is about 7199.1749527290. The cubic root of 51828120 is about 372.8394155738.

The spelling of 51828120 in words is "fifty-one million, eight hundred twenty-eight thousand, one hundred twenty".