54028032 has 72 divisors (see below), whose sum is σ = 145401984. Its totient is φ = 17808384.

The previous prime is 54027997. The next prime is 54028033. The reversal of 54028032 is 23082045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54027993 and 54028011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54028033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78763 + ... + 79445.

It is an arithmetic number, because the mean of its divisors is an integer number (2019472).

Almost surely, 2^54028032 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 54028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72700992).

54028032 is an abundant number, since it is smaller than the sum of its proper divisors (91373952).

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

54028032 is a wasteful number, since it uses less digits than its factorization.

54028032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54028032 is about 7350.3763168970. The cubic root of 54028032 is about 378.0417075560.

The spelling of 54028032 in words is "fifty-four million, twenty-eight thousand, thirty-two".