1628172288 has 156 divisors (see below), whose sum is σ = 4868402760. Its totient is φ = 523665408.

The previous prime is 1628172211. The next prime is 1628172311. The reversal of 1628172288 is 8822718261.

It is a happy number.

1628172288 is a `hidden beast` number, since 1 + 628 + 17 + 2 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×1628172288² = 5301889998822309888, which contains 22 as substring.

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, 1068295 + ... + 1069817.

It is an arithmetic number, because the mean of its divisors is an integer number (31207710).

Almost surely, 2^1628172288 is an apocalyptic number.

1628172288 is a gapful number since it is divisible by the number (18) 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 1628172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434201380).

1628172288 is an abundant number, since it is smaller than the sum of its proper divisors (3240230472).

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

1628172288 is a wasteful number, since it uses less digits than its factorization.

1628172288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1557 counting only the distinct ones).

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

The square root of 1628172288 is about 40350.6169469563. The cubic root of 1628172288 is about 1176.4318835769.

The spelling of 1628172288 in words is "one billion, six hundred twenty-eight million, one hundred seventy-two thousand, two hundred eighty-eight".