53948928 has 160 divisors (see below), whose sum is σ = 163418112. Its totient is φ = 15667200.

The previous prime is 53948911. The next prime is 53948929. The reversal of 53948928 is 82984935.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (53948929) 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, 523725 + ... + 523827.

Almost surely, 2^53948928 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 53948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709056).

53948928 is an abundant number, since it is smaller than the sum of its proper divisors (109469184).

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

53948928 is a wasteful number, since it uses less digits than its factorization.

53948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 53948928 is about 7344.9933968657. The cubic root of 53948928 is about 377.8571168492.

The spelling of 53948928 in words is "fifty-three million, nine hundred forty-eight thousand, nine hundred twenty-eight".