1007108628 has 48 divisors (see below), whose sum is σ = 2497469184. Its totient is φ = 314772480.

The previous prime is 1007108617. The next prime is 1007108651. The reversal of 1007108628 is 8268017001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46176 + ... + 64392.

It is an arithmetic number, because the mean of its divisors is an integer number (52030608).

Almost surely, 2^1007108628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007108628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248734592).

1007108628 is an abundant number, since it is smaller than the sum of its proper divisors (1490360556).

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

1007108628 is a wasteful number, since it uses less digits than its factorization.

1007108628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18512 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1007108628 is about 31734.9748384964. The cubic root of 1007108628 is about 1002.3639500036.

The spelling of 1007108628 in words is "one billion, seven million, one hundred eight thousand, six hundred twenty-eight".