53414928 has 120 divisors (see below), whose sum is σ = 179899200. Its totient is φ = 14452992.

The previous prime is 53414927. The next prime is 53414929. The reversal of 53414928 is 82941435.

It is an interprime number because it is at equal distance from previous prime (53414927) and next prime (53414929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53414892 and 53414901.

It is not an unprimeable number, because it can be changed into a prime (53414927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17758 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (1499160).

Almost surely, 2^53414928 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 53414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89949600).

53414928 is an abundant number, since it is smaller than the sum of its proper divisors (126484272).

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

53414928 is a wasteful number, since it uses less digits than its factorization.

53414928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2820 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 53414928 is about 7308.5517033130. The cubic root of 53414928 is about 376.6062725457.

The spelling of 53414928 in words is "fifty-three million, four hundred fourteen thousand, nine hundred twenty-eight".