52829766 has 128 divisors (see below), whose sum is σ = 140083200. Its totient is φ = 14580000.

The previous prime is 52829759. The next prime is 52829773. The reversal of 52829766 is 66792825.

It is an interprime number because it is at equal distance from previous prime (52829759) and next prime (52829773).

It is a super-2 number, since 2×52829766² = 5581968351229512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349791 + ... + 349941.

It is an arithmetic number, because the mean of its divisors is an integer number (1094400).

Almost surely, 2^52829766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52829766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70041600).

52829766 is an abundant number, since it is smaller than the sum of its proper divisors (87253434).

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

52829766 is a wasteful number, since it uses less digits than its factorization.

52829766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 52829766 is about 7268.4087667109. The cubic root of 52829766 is about 375.2259757991.

The spelling of 52829766 in words is "fifty-two million, eight hundred twenty-nine thousand, seven hundred sixty-six".