51828160 has 56 divisors (see below), whose sum is σ = 124358400. Its totient is φ = 20573184.

The previous prime is 51828151. The next prime is 51828163. The reversal of 51828160 is 6182815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51828163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47137 + ... + 48223.

Almost surely, 2^51828160 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 51828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62179200).

51828160 is an abundant number, since it is smaller than the sum of its proper divisors (72530240).

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

51828160 is a wasteful number, since it uses less digits than its factorization.

51828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 51828160 is about 7199.1777308245. The cubic root of 51828160 is about 372.8395114906.

The spelling of 51828160 in words is "fifty-one million, eight hundred twenty-eight thousand, one hundred sixty".