1713928400928 has 144 divisors (see below), whose sum is σ = 5104548723456. Its totient is φ = 565652678400.

The previous prime is 1713928400893. The next prime is 1713928400941. The reversal of 1713928400928 is 8290048293171.

1713928400928 is a `hidden beast` number, since 17 + 139 + 2 + 8 + 400 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1713928400928² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305776 + ... + 1876527.

It is an arithmetic number, because the mean of its divisors is an integer number (35448255024).

Almost surely, 2^{1713928400928} is an apocalyptic number.

1713928400928 is a gapful number since it is divisible by the number (18) 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 1713928400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552274361728).

1713928400928 is an abundant number, since it is smaller than the sum of its proper divisors (3390620322528).

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

1713928400928 is a wasteful number, since it uses less digits than its factorization.

1713928400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182429 (or 2182409 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1713928400928 in words is "one trillion, seven hundred thirteen billion, nine hundred twenty-eight million, four hundred thousand, nine hundred twenty-eight".