7495334028 has 288 divisors, whose sum is σ = 24451015680. Its totient is φ = 1954886400.

The previous prime is 7495334027. The next prime is 7495334087. The reversal of 7495334028 is 8204335947.

7495334028 is a `hidden beast` number, since 74 + 9 + 533 + 40 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7495334027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8933233 + ... + 8934071.

It is an arithmetic number, because the mean of its divisors is an integer number (84899360).

Almost surely, 2^7495334028 is an apocalyptic number.

7495334028 is a gapful number since it is divisible by the number (78) 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 7495334028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225507840).

7495334028 is an abundant number, since it is smaller than the sum of its proper divisors (16955681652).

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

7495334028 is a wasteful number, since it uses less digits than its factorization.

7495334028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7495334028 is about 86575.5971853501. The cubic root of 7495334028 is about 1957.0278105359.

The spelling of 7495334028 in words is "seven billion, four hundred ninety-five million, three hundred thirty-four thousand, twenty-eight".