54395328 has 224 divisors, whose sum is σ = 172963840. Its totient is φ = 14929920.

The previous prime is 54395317. The next prime is 54395333. The reversal of 54395328 is 82359345.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470126 + ... + 1470162.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 2^54395328 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 54395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86481920).

54395328 is an abundant number, since it is smaller than the sum of its proper divisors (118568512).

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

54395328 is a wasteful number, since it uses less digits than its factorization.

54395328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 54395328 is about 7375.3188405655. The cubic root of 54395328 is about 378.8964474138.

The spelling of 54395328 in words is "fifty-four million, three hundred ninety-five thousand, three hundred twenty-eight".