51528096 has 96 divisors (see below), whose sum is σ = 156885120. Its totient is φ = 16422912.

The previous prime is 51528089. The next prime is 51528101. The reversal of 51528096 is 69082515.

It is a happy number.

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).

51528096 is a modest number, since divided by 8096 gives 5152 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 51528096.

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, 18576 + ... + 21168.

It is an arithmetic number, because the mean of its divisors is an integer number (1634220).

Almost surely, 2^51528096 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 51528096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78442560).

51528096 is an abundant number, since it is smaller than the sum of its proper divisors (105357024).

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

51528096 is a wasteful number, since it uses less digits than its factorization.

51528096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51528096 is about 7178.3073213676. The cubic root of 51528096 is about 372.1185886223.

The spelling of 51528096 in words is "fifty-one million, five hundred twenty-eight thousand, ninety-six".