53828880 has 120 divisors (see below), whose sum is σ = 191779392. Its totient is φ = 12235008.

The previous prime is 53828869. The next prime is 53828897. The reversal of 53828880 is 8882835.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300631 + ... + 300809.

Almost surely, 2^53828880 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 53828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95889696).

53828880 is an abundant number, since it is smaller than the sum of its proper divisors (137950512).

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

53828880 is a wasteful number, since it uses less digits than its factorization.

53828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 53828880 is about 7336.8167484271. The cubic root of 53828880 is about 377.5766375113.

The spelling of 53828880 in words is "fifty-three million, eight hundred twenty-eight thousand, eight hundred eighty".