52829880 has 256 divisors, whose sum is σ = 186624000. Its totient is φ = 11870208.

The previous prime is 52829879. The next prime is 52829891. The reversal of 52829880 is 8892825.

52829880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1124017 + ... + 1124063.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^52829880 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 52829880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

52829880 is an abundant number, since it is smaller than the sum of its proper divisors (133794120).

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

52829880 is a wasteful number, since it uses less digits than its factorization.

52829880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 52829880 is about 7268.4166088633. The cubic root of 52829880 is about 375.2262456958.

The spelling of 52829880 in words is "fifty-two million, eight hundred twenty-nine thousand, eight hundred eighty".