928717690000 has 225 divisors, whose sum is σ = 2356153823023. Its totient is φ = 354487408000.

The previous prime is 928717689971. The next prime is 928717690003. The reversal of 928717690000 is 96717829.

It is a happy number.

The square root of 928717690000 is 963700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 72811466896 + 855906223104 = 269836^2 + 925152^2 .

It is a super-2 number, since 2×928717690000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (928717690003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2216509791 + ... + 2216510209.

Almost surely, 2^928717690000 is an apocalyptic number.

928717690000 is the 963700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928717690000

928717690000 is an abundant number, since it is smaller than the sum of its proper divisors (1427436133023).

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

928717690000 is an frugal number, since it uses more digits than its factorization.

928717690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 928717690000 by its sum of digits (49), we get a square (45507166810000 = 6745900²).

The spelling of 928717690000 in words is "nine hundred twenty-eight billion, seven hundred seventeen million, six hundred ninety thousand".