1007875428 has 96 divisors (see below), whose sum is σ = 2746490880. Its totient is φ = 281715840.

The previous prime is 1007875417. The next prime is 1007875511. The reversal of 1007875428 is 8245787001.

1007875428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1007875428.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224225 + ... + 1225047.

It is an arithmetic number, because the mean of its divisors is an integer number (28609280).

Almost surely, 2^1007875428 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 1007875428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373245440).

1007875428 is an abundant number, since it is smaller than the sum of its proper divisors (1738615452).

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

1007875428 is a wasteful number, since it uses less digits than its factorization.

1007875428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 1007875428 is about 31747.0538475620. The cubic root of 1007875428 is about 1002.6182812867.

The spelling of 1007875428 in words is "one billion, seven million, eight hundred seventy-five thousand, four hundred twenty-eight".