52077528 has 96 divisors (see below), whose sum is σ = 150845760. Its totient is φ = 16174080.

The previous prime is 52077491. The next prime is 52077547. The reversal of 52077528 is 82577025.

52077528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 52077492 and 52077501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192033 + ... + 192303.

It is an arithmetic number, because the mean of its divisors is an integer number (1571310).

Almost surely, 2^52077528 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 52077528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75422880).

52077528 is an abundant number, since it is smaller than the sum of its proper divisors (98768232).

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

52077528 is a wasteful number, since it uses less digits than its factorization.

52077528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 52077528 is about 7216.4761483705. The cubic root of 52077528 is about 373.4365198051.

The spelling of 52077528 in words is "fifty-two million, seventy-seven thousand, five hundred twenty-eight".