52829000 has 64 divisors (see below), whose sum is σ = 141298560. Its totient is φ = 18110400.

The previous prime is 52828961. The next prime is 52829017. The reversal of 52829000 is 92825.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3227 + ... + 10773.

It is an arithmetic number, because the mean of its divisors is an integer number (2207790).

Almost surely, 2^52829000 is an apocalyptic number.

52829000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70649280).

52829000 is an abundant number, since it is smaller than the sum of its proper divisors (88469560).

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

52829000 is a wasteful number, since it uses less digits than its factorization.

52829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 52829000 is about 7268.3560727306. The cubic root of 52829000 is about 375.2241622730.

The spelling of 52829000 in words is "fifty-two million, eight hundred twenty-nine thousand".