51528456 has 96 divisors (see below), whose sum is σ = 167918400. Its totient is φ = 13944960.

The previous prime is 51528413. The next prime is 51528467. The reversal of 51528456 is 65482515.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51528456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6886 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (1749150).

Almost surely, 2^51528456 is an apocalyptic number.

51528456 is a gapful number since it is divisible by the number (56) 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 51528456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83959200).

51528456 is an abundant number, since it is smaller than the sum of its proper divisors (116389944).

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

51528456 is a wasteful number, since it uses less digits than its factorization.

51528456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5412 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 51528456 is about 7178.3323968732. The cubic root of 51528456 is about 372.1194552200.

It can be divided in two parts, 51528 and 456, that added together give a square (51984 = 228²).

The spelling of 51528456 in words is "fifty-one million, five hundred twenty-eight thousand, four hundred fifty-six".