1628385120 has 480 divisors, whose sum is σ = 6421615200. Its totient is φ = 386187264.

The previous prime is 1628385107. The next prime is 1628385131. The reversal of 1628385120 is 215838261.

It is a happy number.

1628385120 is a `hidden beast` number, since 1 + 62 + 83 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4185886 + ... + 4186274.

It is an arithmetic number, because the mean of its divisors is an integer number (13378365).

Almost surely, 2^1628385120 is an apocalyptic number.

1628385120 is a gapful number since it is divisible by the number (10) 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 1628385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210807600).

1628385120 is an abundant number, since it is smaller than the sum of its proper divisors (4793230080).

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

1628385120 is a wasteful number, since it uses less digits than its factorization.

1628385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1628385120 is about 40353.2541438730. The cubic root of 1628385120 is about 1176.4831417562.

The spelling of 1628385120 in words is "one billion, six hundred twenty-eight million, three hundred eighty-five thousand, one hundred twenty".