1628363727900 has 1008 divisors, whose sum is σ = 6864207884800. Its totient is φ = 325459192320.

The previous prime is 1628363727883. The next prime is 1628363727917. The reversal of 1628363727900 is 97273638261.

1628363727900 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 363 + 7 + 279 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1628363727883) and next prime (1628363727917).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 126037641 + ... + 126050559.

Almost surely, 2^{1628363727900} is an apocalyptic number.

1628363727900 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 1628363727900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432103942400).

1628363727900 is an abundant number, since it is smaller than the sum of its proper divisors (5235844156900).

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

1628363727900 is a wasteful number, since it uses less digits than its factorization.

1628363727900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1628363727900 in words is "one trillion, six hundred twenty-eight billion, three hundred sixty-three million, seven hundred twenty-seven thousand, nine hundred".