258116628 has 96 divisors (see below), whose sum is σ = 753822720. Its totient is φ = 66781440.

The previous prime is 258116623. The next prime is 258116641. The reversal of 258116628 is 826611852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258116623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377575 + ... + 378257.

It is an arithmetic number, because the mean of its divisors is an integer number (7852320).

Almost surely, 2^258116628 is an apocalyptic number.

258116628 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 258116628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376911360).

258116628 is an abundant number, since it is smaller than the sum of its proper divisors (495706092).

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

258116628 is a wasteful number, since it uses less digits than its factorization.

258116628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 258116628 is about 16066.0084650793. The cubic root of 258116628 is about 636.7055873188.

It can be divided in two parts, 258 and 116628, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 258116628 in words is "two hundred fifty-eight million, one hundred sixteen thousand, six hundred twenty-eight".