7628011488 has 96 divisors (see below), whose sum is σ = 22765881600. Its totient is φ = 2483526528.

The previous prime is 7628011487. The next prime is 7628011507. The reversal of 7628011488 is 8841108267.

7628011488 is a `hidden beast` number, since 7 + 628 + 0 + 1 + 14 + 8 + 8 = 666.

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

It is a super-2 number, since 2×7628011488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628011483) 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 15 ways as a sum of consecutive naturals, for example, 65508 + ... + 139811.

It is an arithmetic number, because the mean of its divisors is an integer number (237144600).

Almost surely, 2^7628011488 is an apocalyptic number.

It is an amenable number.

7628011488 is an abundant number, since it is smaller than the sum of its proper divisors (15137870112).

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

7628011488 is a wasteful number, since it uses less digits than its factorization.

7628011488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205381 (or 205367 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 7628011488 is about 87338.4880107276. The cubic root of 7628011488 is about 1968.5076768779.

The spelling of 7628011488 in words is "seven billion, six hundred twenty-eight million, eleven thousand, four hundred eighty-eight".