10507180428 has 72 divisors (see below), whose sum is σ = 26751095280. Its totient is φ = 3477237120.

The previous prime is 10507180427. The next prime is 10507180433. The reversal of 10507180428 is 82408170501.

10507180428 is a `hidden beast` number, since 1 + 0 + 50 + 7 + 180 + 428 = 666.

It is a super-2 number, since 2×10507180428² (a number of 21 digits) contains 22 as substring.

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 = 10507180392 and 10507180401.

It is not an unprimeable number, because it can be changed into a prime (10507180421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6578526 + ... + 6580122.

It is an arithmetic number, because the mean of its divisors is an integer number (371542990).

Almost surely, 2^10507180428 is an apocalyptic number.

10507180428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10507180428 is an abundant number, since it is smaller than the sum of its proper divisors (16243914852).

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

10507180428 is a wasteful number, since it uses less digits than its factorization.

10507180428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10507180428 in words is "ten billion, five hundred seven million, one hundred eighty thousand, four hundred twenty-eight".