1628719434000 has 640 divisors, whose sum is σ = 5939644838400. Its totient is φ = 426564403200.

The previous prime is 1628719433989. The next prime is 1628719434019. The reversal of 1628719434000 is 4349178261.

1628719434000 is a `hidden beast` number, since 1 + 628 + 7 + 19 + 4 + 3 + 4 + 0 + 0 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 728080882 + ... + 728083118.

It is an arithmetic number, because the mean of its divisors is an integer number (9280695060).

Almost surely, 2^{1628719434000} is an apocalyptic number.

1628719434000 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 1628719434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969822419200).

1628719434000 is an abundant number, since it is smaller than the sum of its proper divisors (4310925404400).

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

1628719434000 is a wasteful number, since it uses less digits than its factorization.

1628719434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1628719434000 in words is "one trillion, six hundred twenty-eight billion, seven hundred nineteen million, four hundred thirty-four thousand".