1329164928 has 384 divisors, whose sum is σ = 4871193600. Its totient is φ = 338411520.

The previous prime is 1329164927. The next prime is 1329164951. The reversal of 1329164928 is 8294619231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329164927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249588 + ... + 3249996.

It is an arithmetic number, because the mean of its divisors is an integer number (12685400).

Almost surely, 2^1329164928 is an apocalyptic number.

1329164928 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 1329164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435596800).

1329164928 is an abundant number, since it is smaller than the sum of its proper divisors (3542028672).

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

1329164928 is a wasteful number, since it uses less digits than its factorization.

1329164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1329164928 is about 36457.7142454104. The cubic root of 1329164928 is about 1099.4942380180.

The spelling of 1329164928 in words is "one billion, three hundred twenty-nine million, one hundred sixty-four thousand, nine hundred twenty-eight".