1112258628 has 252 divisors, whose sum is σ = 3298713348. Its totient is φ = 327525120.

The previous prime is 1112258599. The next prime is 1112258647. The reversal of 1112258628 is 8268522111.

1112258628 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 25 + 8 + 628 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 223741764 + 888516864 = 14958^2 + 29808^2 .

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 = 1112258592 and 1112258601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18233718 + ... + 18233778.

Almost surely, 2^1112258628 is an apocalyptic number.

1112258628 is a gapful number since it is divisible by the number (18) 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 1112258628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649356674).

1112258628 is an abundant number, since it is smaller than the sum of its proper divisors (2186454720).

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

1112258628 is a wasteful number, since it uses less digits than its factorization.

1112258628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1112258628 is about 33350.5416447769. The cubic root of 1112258628 is about 1036.1006061518.

The spelling of 1112258628 in words is "one billion, one hundred twelve million, two hundred fifty-eight thousand, six hundred twenty-eight".