1930787497728 has 360 divisors, whose sum is σ = 5984404844880. Its totient is φ = 618417192960.

The previous prime is 1930787497687. The next prime is 1930787497747. The reversal of 1930787497728 is 8277947870391.

1930787497728 is a `hidden beast` number, since 1 + 9 + 30 + 7 + 87 + 497 + 7 + 28 = 666.

It is a super-2 number, since 2×1930787497728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126875976 + ... + 126891192.

Almost surely, 2^{1930787497728} is an apocalyptic number.

1930787497728 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 1930787497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992202422440).

1930787497728 is an abundant number, since it is smaller than the sum of its proper divisors (4053617347152).

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

1930787497728 is a wasteful number, since it uses less digits than its factorization.

1930787497728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15485 (or 15462 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 1930787497728 in words is "one trillion, nine hundred thirty billion, seven hundred eighty-seven million, four hundred ninety-seven thousand, seven hundred twenty-eight".