1646396928 has 280 divisors, whose sum is σ = 5393902536. Its totient is φ = 497664000.

The previous prime is 1646396891. The next prime is 1646396933. The reversal of 1646396928 is 8296936461.

1646396928 is a `hidden beast` number, since 1 + 6 + 463 + 96 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4105528 + ... + 4105928.

Almost surely, 2^1646396928 is an apocalyptic number.

1646396928 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 1646396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696951268).

1646396928 is an abundant number, since it is smaller than the sum of its proper divisors (3747505608).

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

1646396928 is an frugal number, since it uses more digits than its factorization.

1646396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 417 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1646396928 is about 40575.8170342878. The cubic root of 1646396928 is about 1180.8049970044.

The spelling of 1646396928 in words is "one billion, six hundred forty-six million, three hundred ninety-six thousand, nine hundred twenty-eight".