51827328 has 96 divisors (see below), whose sum is σ = 170470560. Its totient is φ = 14805504.

The previous prime is 51827327. The next prime is 51827329. The reversal of 51827328 is 82372815.

It is an interprime number because it is at equal distance from previous prime (51827327) and next prime (51827329).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51827292 and 51827301.

It is not an unprimeable number, because it can be changed into a prime (51827327) 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, 4851 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (1775735).

Almost surely, 2^51827328 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 51827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85235280).

51827328 is an abundant number, since it is smaller than the sum of its proper divisors (118643232).

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

51827328 is a wasteful number, since it uses less digits than its factorization.

51827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 6439 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 51827328 is about 7199.1199462156. The cubic root of 51827328 is about 372.8375164096.

The spelling of 51827328 in words is "fifty-one million, eight hundred twenty-seven thousand, three hundred twenty-eight".