51528960 has 360 divisors, whose sum is σ = 213687936. Its totient is φ = 11612160.

The previous prime is 51528959. The next prime is 51528979. The reversal of 51528960 is 6982515.

It is a happy number.

51528960 is a `hidden beast` number, since 515 + 2 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725725 + ... + 725795.

Almost surely, 2^51528960 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 51528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968).

51528960 is an abundant number, since it is smaller than the sum of its proper divisors (162158976).

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

51528960 is an equidigital number, since it uses as much as digits as its factorization.

51528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

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

The square root of 51528960 is about 7178.3675024340. The cubic root of 51528960 is about 372.1206684499.

The spelling of 51528960 in words is "fifty-one million, five hundred twenty-eight thousand, nine hundred sixty".