7408728288 has 96 divisors (see below), whose sum is σ = 23271040800. Its totient is φ = 2279605248.

The previous prime is 7408728269. The next prime is 7408728359. The reversal of 7408728288 is 8828278047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7408728288² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318573 + ... + 341036.

It is an arithmetic number, because the mean of its divisors is an integer number (242406675).

Almost surely, 2^7408728288 is an apocalyptic number.

7408728288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7408728288 is an abundant number, since it is smaller than the sum of its proper divisors (15862312512).

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

7408728288 is a wasteful number, since it uses less digits than its factorization.

7408728288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659641 (or 659627 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 7408728288 is about 86073.9698631357. The cubic root of 7408728288 is about 1949.4610202706.

The spelling of 7408728288 in words is "seven billion, four hundred eight million, seven hundred twenty-eight thousand, two hundred eighty-eight".