52029828 has 144 divisors (see below), whose sum is σ = 148948800. Its totient is φ = 15240960.

The previous prime is 52029827. The next prime is 52029829. The reversal of 52029828 is 82892025.

It is an interprime number because it is at equal distance from previous prime (52029827) and next prime (52029829).

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 = 52029792 and 52029801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52029823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852918 + ... + 852978.

Almost surely, 2^52029828 is an apocalyptic number.

52029828 is a gapful number since it is divisible by the number (58) 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 52029828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

52029828 is an abundant number, since it is smaller than the sum of its proper divisors (96918972).

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

52029828 is a wasteful number, since it uses less digits than its factorization.

52029828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52029828 is about 7213.1704541068. The cubic root of 52029828 is about 373.3224695677.

The spelling of 52029828 in words is "fifty-two million, twenty-nine thousand, eight hundred twenty-eight".