1628685360 has 320 divisors, whose sum is σ = 5845340160. Its totient is φ = 416517120.

The previous prime is 1628685343. The next prime is 1628685419. The reversal of 1628685360 is 635868261.

1628685360 is a `hidden beast` number, since 1 + 6 + 286 + 8 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6192589 + ... + 6192851.

It is an arithmetic number, because the mean of its divisors is an integer number (18266688).

Almost surely, 2^1628685360 is an apocalyptic number.

1628685360 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 1628685360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922670080).

1628685360 is an abundant number, since it is smaller than the sum of its proper divisors (4216654800).

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

1628685360 is a wasteful number, since it uses less digits than its factorization.

1628685360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1628685360 is about 40356.9741184842. The cubic root of 1628685360 is about 1176.5554435697. Note that the first 3 decimals are identical.

The spelling of 1628685360 in words is "one billion, six hundred twenty-eight million, six hundred eighty-five thousand, three hundred sixty".