10070793828 has 108 divisors (see below), whose sum is σ = 26636949612. Its totient is φ = 3331238400.

The previous prime is 10070793773. The next prime is 10070793899. The reversal of 10070793828 is 82839707001.

It can be written as a sum of positive squares in 2 ways, for example, as 5529112164 + 4541681664 = 74358^2 + 67392^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3594028 + ... + 3596828.

Almost surely, 2^10070793828 is an apocalyptic number.

10070793828 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 10070793828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318474806).

10070793828 is an abundant number, since it is smaller than the sum of its proper divisors (16566155784).

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

10070793828 is an equidigital number, since it uses as much as digits as its factorization.

10070793828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10070793828 in words is "ten billion, seventy million, seven hundred ninety-three thousand, eight hundred twenty-eight".