1609628272 has 90 divisors (see below), whose sum is σ = 3803221608. Its totient is φ = 646350336.

The previous prime is 1609628257. The next prime is 1609628281. The reversal of 1609628272 is 2728269061.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7217953 + ... + 7218175.

Almost surely, 2^1609628272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609628272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901610804).

1609628272 is an abundant number, since it is smaller than the sum of its proper divisors (2193593336).

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

1609628272 is an equidigital number, since it uses as much as digits as its factorization.

1609628272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1609628272 is about 40120.1728809835. The cubic root of 1609628272 is about 1171.9485081067.

Multiplying 1609628272 by its product of nonzero digits (145152), we get a square (233640762937344 = 15285312²).

The spelling of 1609628272 in words is "one billion, six hundred nine million, six hundred twenty-eight thousand, two hundred seventy-two".