7429428100 has 36 divisors (see below), whose sum is σ = 16125913188. Its totient is φ = 2971024000.

The previous prime is 7429428073. The next prime is 7429428121. The reversal of 7429428100 is 18249247.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 7429060864 = 606^2 + 86192^2 .

It is a super-2 number, since 2×7429428100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7429428100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567630 + ... + 580570.

It is an arithmetic number, because the mean of its divisors is an integer number (447942033).

Almost surely, 2^7429428100 is an apocalyptic number.

It is an amenable number.

7429428100 is an abundant number, since it is smaller than the sum of its proper divisors (8696485088).

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

7429428100 is a wasteful number, since it uses less digits than its factorization.

7429428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18696 (or 18689 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 7429428100 is about 86194.1303105960. The cubic root of 7429428100 is about 1951.2749146872.

The spelling of 7429428100 in words is "seven billion, four hundred twenty-nine million, four hundred twenty-eight thousand, one hundred".