1928742736360 has 256 divisors, whose sum is σ = 5060327178240. Its totient is φ = 653845893120.

The previous prime is 1928742736337. The next prime is 1928742736369. The reversal of 1928742736360 is 636372478291.

It is a super-2 number, since 2×1928742736360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1928742736295 and 1928742736304.

It is not an unprimeable number, because it can be changed into a prime (1928742736369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781815847 + ... + 781818313.

It is an arithmetic number, because the mean of its divisors is an integer number (19766903040).

Almost surely, 2^{1928742736360} is an apocalyptic number.

1928742736360 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 1928742736360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530163589120).

1928742736360 is an abundant number, since it is smaller than the sum of its proper divisors (3131584441880).

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

1928742736360 is a wasteful number, since it uses less digits than its factorization.

1928742736360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 1928742736360 in words is "one trillion, nine hundred twenty-eight billion, seven hundred forty-two million, seven hundred thirty-six thousand, three hundred sixty".