1628790912 has 384 divisors, whose sum is σ = 5659580160. Its totient is φ = 439934976.

The previous prime is 1628790899. The next prime is 1628790973. The reversal of 1628790912 is 2190978261.

1628790912 is a `hidden beast` number, since 1 + 628 + 7 + 9 + 0 + 9 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15813453 + ... + 15813555.

It is an arithmetic number, because the mean of its divisors is an integer number (14738490).

Almost surely, 2^1628790912 is an apocalyptic number.

1628790912 is a gapful number since it is divisible by the number (12) 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 1628790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829790080).

1628790912 is an abundant number, since it is smaller than the sum of its proper divisors (4030789248).

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

1628790912 is a wasteful number, since it uses less digits than its factorization.

1628790912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1628790912 is about 40358.2818266586. The cubic root of 1628790912 is about 1176.5808597940.

The spelling of 1628790912 in words is "one billion, six hundred twenty-eight million, seven hundred ninety thousand, nine hundred twelve".