54528768 has 288 divisors, whose sum is σ = 196224000. Its totient is φ = 14902272.

The previous prime is 54528763. The next prime is 54528797. The reversal of 54528768 is 86782545.

54528768 is a `hidden beast` number, since 54 + 528 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (537600) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (54528763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370805 + ... + 2370827.

Almost surely, 2^54528768 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 54528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98112000).

54528768 is an abundant number, since it is smaller than the sum of its proper divisors (141695232).

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

54528768 is an equidigital number, since it uses as much as digits as its factorization.

54528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 54528768 is about 7384.3596878809. The cubic root of 54528768 is about 379.2060245798.

The spelling of 54528768 in words is "fifty-four million, five hundred twenty-eight thousand, seven hundred sixty-eight".