7388628192 has 480 divisors, whose sum is σ = 26081637120. Its totient is φ = 2025492480.

The previous prime is 7388628167. The next prime is 7388628197. The reversal of 7388628192 is 2918268837.

It is a happy number.

7388628192 is a `hidden beast` number, since 7 + 3 + 8 + 8 + 628 + 1 + 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 not an unprimeable number, because it can be changed into a prime (7388628197) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12459448 + ... + 12460040.

It is an arithmetic number, because the mean of its divisors is an integer number (54336744).

Almost surely, 2^7388628192 is an apocalyptic number.

7388628192 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 7388628192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040818560).

7388628192 is an abundant number, since it is smaller than the sum of its proper divisors (18693008928).

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

7388628192 is a wasteful number, since it uses less digits than its factorization.

7388628192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 7388628192 is about 85957.1299660476. The cubic root of 7388628192 is about 1947.6964419814.

The spelling of 7388628192 in words is "seven billion, three hundred eighty-eight million, six hundred twenty-eight thousand, one hundred ninety-two".