1628746001800 has 24 divisors (see below), whose sum is σ = 3786834454650. Its totient is φ = 651498400640.

The previous prime is 1628746001749. The next prime is 1628746001809. The reversal of 1628746001800 is 81006478261.

It can be written as a sum of positive squares in 3 ways, for example, as 1061794228356 + 566951773444 = 1030434^2 + 752962^2 .

It is a super-3 number, since 3×1628746001800³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1628746001809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4071864805 + ... + 4071865204.

Almost surely, 2^{1628746001800} is an apocalyptic number.

1628746001800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628746001800 is an abundant number, since it is smaller than the sum of its proper divisors (2158088452850).

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

1628746001800 is a wasteful number, since it uses less digits than its factorization.

1628746001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143730025 (or 8143730016 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 1628746001800 in words is "one trillion, six hundred twenty-eight billion, seven hundred forty-six million, one thousand, eight hundred".