7628193792 has 204 divisors, whose sum is σ = 22900725120. Its totient is φ = 2537422848.

The previous prime is 7628193751. The next prime is 7628193847. The reversal of 7628193792 is 2973918267.

7628193792 is a `hidden beast` number, since 7 + 628 + 1 + 9 + 3 + 7 + 9 + 2 = 666.

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 11 ways as a sum of consecutive naturals, for example, 15925009 + ... + 15925487.

Almost surely, 2^7628193792 is an apocalyptic number.

7628193792 is a gapful number since it is divisible by the number (72) 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 7628193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450362560).

7628193792 is an abundant number, since it is smaller than the sum of its proper divisors (15272531328).

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

7628193792 is an frugal number, since it uses more digits than its factorization.

7628193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 484 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7628193792 is about 87339.5316680826. The cubic root of 7628193792 is about 1968.5233587265.

The spelling of 7628193792 in words is "seven billion, six hundred twenty-eight million, one hundred ninety-three thousand, seven hundred ninety-two".