7628248705 has 48 divisors (see below), whose sum is σ = 11635004160. Its totient is φ = 4747680000.

The previous prime is 7628248681. The next prime is 7628248739. The reversal of 7628248705 is 5078428267.

It is not a de Polignac number, because 7628248705 - 2¹⁹ = 7627724417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2022061 + ... + 2025829.

It is an arithmetic number, because the mean of its divisors is an integer number (242395920).

Almost surely, 2^7628248705 is an apocalyptic number.

It is an amenable number.

7628248705 is a deficient number, since it is larger than the sum of its proper divisors (4006755455).

7628248705 is a wasteful number, since it uses less digits than its factorization.

7628248705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 7628248705 is about 87339.8460326099. The cubic root of 7628248705 is about 1968.5280823115.

The spelling of 7628248705 in words is "seven billion, six hundred twenty-eight million, two hundred forty-eight thousand, seven hundred five".