1628935920 has 560 divisors, whose sum is σ = 6323380992. Its totient is φ = 388177920.

The previous prime is 1628935907. The next prime is 1628935921. The reversal of 1628935920 is 295398261.

1628935920 is a `hidden beast` number, since 16 + 289 + 359 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628935921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30734614 + ... + 30734666.

Almost surely, 2^1628935920 is an apocalyptic number.

1628935920 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 1628935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161690496).

1628935920 is an abundant number, since it is smaller than the sum of its proper divisors (4694445072).

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

1628935920 is a wasteful number, since it uses less digits than its factorization.

1628935920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1628935920 is about 40360.0782952660. The cubic root of 1628935920 is about 1176.6157749721.

The spelling of 1628935920 in words is "one billion, six hundred twenty-eight million, nine hundred thirty-five thousand, nine hundred twenty".