53538848 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 21852160.

The previous prime is 53538847. The next prime is 53538869. The reversal of 53538848 is 84883535.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (460800) is a multiple of the sum of its prime factors (450).

It is a junction number, because it is equal to n+sod(n) for n = 53538799 and 53538808.

It is not an unprimeable number, because it can be changed into a prime (53538847) 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, 137438 + ... + 137826.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^53538848 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 53538848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

53538848 is an abundant number, since it is smaller than the sum of its proper divisors (73832032).

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

53538848 is a wasteful number, since it uses less digits than its factorization.

53538848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 53538848 is about 7317.0245318709. The cubic root of 53538848 is about 376.8972836139.

The spelling of 53538848 in words is "fifty-three million, five hundred thirty-eight thousand, eight hundred forty-eight".