51828960 has 96 divisors (see below), whose sum is σ = 171884160. Its totient is φ = 13091328.

The previous prime is 51828949. The next prime is 51829007. The reversal of 51828960 is 6982815.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (1790460).

Almost surely, 2^51828960 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 51828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85942080).

51828960 is an abundant number, since it is smaller than the sum of its proper divisors (120055200).

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

51828960 is a wasteful number, since it uses less digits than its factorization.

51828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 51828960 is about 7199.2332925111. The cubic root of 51828960 is about 372.8414298176.

The spelling of 51828960 in words is "fifty-one million, eight hundred twenty-eight thousand, nine hundred sixty".