53771328 has 168 divisors, whose sum is σ = 170858688. Its totient is φ = 16063488.

The previous prime is 53771327. The next prime is 53771359. The reversal of 53771328 is 82317735.

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 = 53771292 and 53771301.

It is not an unprimeable number, because it can be changed into a prime (53771327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321901 + ... + 322067.

It is an arithmetic number, because the mean of its divisors is an integer number (1017016).

Almost surely, 2^53771328 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 53771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85429344).

53771328 is an abundant number, since it is smaller than the sum of its proper divisors (117087360).

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

53771328 is a wasteful number, since it uses less digits than its factorization.

53771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 53771328 is about 7332.8935625713. The cubic root of 53771328 is about 377.4420255107.

The spelling of 53771328 in words is "fifty-three million, seven hundred seventy-one thousand, three hundred twenty-eight".