54828672 has 128 divisors (see below), whose sum is σ = 159071040. Its totient is φ = 16662528.

The previous prime is 54828671. The next prime is 54828673. The reversal of 54828672 is 27682845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54828671) and next prime (54828673).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54828671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241423 + ... + 241649.

Almost surely, 2^54828672 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 54828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535520).

54828672 is an abundant number, since it is smaller than the sum of its proper divisors (104242368).

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

54828672 is a wasteful number, since it uses less digits than its factorization.

54828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 54828672 is about 7404.6385462087. The cubic root of 54828672 is about 379.8999551957.

The spelling of 54828672 in words is "fifty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".