1628896132800 has 210 divisors, whose sum is σ = 5987412922788. Its totient is φ = 434372267520.

The previous prime is 1628896132757. The next prime is 1628896132807. The reversal of 1628896132800 is 82316988261.

1628896132800 is a `hidden beast` number, since 1 + 628 + 8 + 9 + 6 + 1 + 3 + 2 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×1628896132800³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1628896132807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6154722 + ... + 6413921.

Almost surely, 2^{1628896132800} is an apocalyptic number.

1628896132800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628896132800 is an abundant number, since it is smaller than the sum of its proper divisors (4358516789988).

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

1628896132800 is a wasteful number, since it uses less digits than its factorization.

1628896132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568677 (or 12568653 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1628896132800 in words is "one trillion, six hundred twenty-eight billion, eight hundred ninety-six million, one hundred thirty-two thousand, eight hundred".