252098028 has 192 divisors, whose sum is σ = 815109120. Its totient is φ = 65608704.

The previous prime is 252098027. The next prime is 252098059. The reversal of 252098028 is 820890252.

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 = 252097983 and 252098001.

It is not an unprimeable number, because it can be changed into a prime (252098027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110451 + ... + 1110677.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2^252098028 is an apocalyptic number.

252098028 is a gapful number since it is divisible by the number (28) 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 252098028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407554560).

252098028 is an abundant number, since it is smaller than the sum of its proper divisors (563011092).

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

252098028 is a wasteful number, since it uses less digits than its factorization.

252098028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

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

The square root of 252098028 is about 15877.5951579576. The cubic root of 252098028 is about 631.7178512774.

The spelling of 252098028 in words is "two hundred fifty-two million, ninety-eight thousand, twenty-eight".