54328320 has 220 divisors, whose sum is σ = 196168104. Its totient is φ = 14376960.

The previous prime is 54328319. The next prime is 54328327. The reversal of 54328320 is 2382345.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54328327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414655 + ... + 414785.

Almost surely, 2^54328320 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 54328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98084052).

54328320 is an abundant number, since it is smaller than the sum of its proper divisors (141839784).

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

54328320 is a wasteful number, since it uses less digits than its factorization.

54328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54328320 is about 7370.7747218322. The cubic root of 54328320 is about 378.7407996981.

The spelling of 54328320 in words is "fifty-four million, three hundred twenty-eight thousand, three hundred twenty".