1656328128 has 224 divisors, whose sum is σ = 5511174144. Its totient is φ = 427327488.

The previous prime is 1656328117. The next prime is 1656328151. The reversal of 1656328128 is 8218236561.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1656328128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820176 + ... + 822192.

It is an arithmetic number, because the mean of its divisors is an integer number (24603456).

Almost surely, 2^1656328128 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 1656328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755587072).

1656328128 is an abundant number, since it is smaller than the sum of its proper divisors (3854846016).

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

1656328128 is a wasteful number, since it uses less digits than its factorization.

1656328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2089 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1656328128 is about 40698.0113519076. The cubic root of 1656328128 is about 1183.1744762924.

The spelling of 1656328128 in words is "one billion, six hundred fifty-six million, three hundred twenty-eight thousand, one hundred twenty-eight".