7428130875 has 288 divisors, whose sum is σ = 16257226752. Its totient is φ = 3231360000.

The previous prime is 7428130849. The next prime is 7428130901. The reversal of 7428130875 is 5780318247.

It is an interprime number because it is at equal distance from previous prime (7428130849) and next prime (7428130901).

It is not a de Polignac number, because 7428130875 - 2⁶ = 7428130811 is a prime.

It is a super-2 number, since 2×7428130875² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 7428130875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110867592 + ... + 110867658.

It is an arithmetic number, because the mean of its divisors is an integer number (56448704).

Almost surely, 2^7428130875 is an apocalyptic number.

7428130875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7428130875 is an abundant number, since it is smaller than the sum of its proper divisors (8829095877).

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

7428130875 is a wasteful number, since it uses less digits than its factorization.

7428130875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7428130875 is about 86186.6049627203. The cubic root of 7428130875 is about 1951.1613397747.

The spelling of 7428130875 in words is "seven billion, four hundred twenty-eight million, one hundred thirty thousand, eight hundred seventy-five".