52477128 has 96 divisors (see below), whose sum is σ = 156349440. Its totient is φ = 15768960.

The previous prime is 52477127. The next prime is 52477133. The reversal of 52477128 is 82177425.

52477128 is a `hidden beast` number, since 524 + 7 + 7 + 128 = 666.

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 = 52477092 and 52477101.

It is not an unprimeable number, because it can be changed into a prime (52477123) 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, 136825 + ... + 137207.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 2^52477128 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 52477128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78174720).

52477128 is an abundant number, since it is smaller than the sum of its proper divisors (103872312).

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

52477128 is a wasteful number, since it uses less digits than its factorization.

52477128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 52477128 is about 7244.1098832086. The cubic root of 52477128 is about 374.3892351167.

The spelling of 52477128 in words is "fifty-two million, four hundred seventy-seven thousand, one hundred twenty-eight".