53882820 has 72 divisors (see below), whose sum is σ = 169513344. Its totient is φ = 14367456.

The previous prime is 53882791. The next prime is 53882839. The reversal of 53882820 is 2828835.

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

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, 684 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (2354352).

Almost surely, 2^53882820 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 53882820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84756672).

53882820 is an abundant number, since it is smaller than the sum of its proper divisors (115630524).

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

53882820 is a wasteful number, since it uses less digits than its factorization.

53882820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 53882820 is about 7340.4918091365. The cubic root of 53882820 is about 377.7027141005.

The spelling of 53882820 in words is "fifty-three million, eight hundred eighty-two thousand, eight hundred twenty".