1628387984160 has 1728 divisors, whose sum is σ = 7169146403328. Its totient is φ = 346804125696.

The previous prime is 1628387984159. The next prime is 1628387984189. The reversal of 1628387984160 is 614897838261.

1628387984160 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 387 + 98 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4437024297 + ... + 4437024663.

It is an arithmetic number, because the mean of its divisors is an integer number (4148811576).

Almost surely, 2^{1628387984160} is an apocalyptic number.

1628387984160 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 1628387984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584573201664).

1628387984160 is an abundant number, since it is smaller than the sum of its proper divisors (5540758419168).

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

1628387984160 is a wasteful number, since it uses less digits than its factorization.

1628387984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1628387984160 in words is "one trillion, six hundred twenty-eight billion, three hundred eighty-seven million, nine hundred eighty-four thousand, one hundred sixty".