9290001728 has 84 divisors (see below), whose sum is σ = 21967961652. Its totient is φ = 3884267520.

The previous prime is 9290001727. The next prime is 9290001731. The reversal of 9290001728 is 8271000929.

It can be written as a sum of positive squares in 2 ways, for example, as 1726568704 + 7563433024 = 41552^2 + 86968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9290001691 and 9290001700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9290001727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92450 + ... + 164702.

It is an arithmetic number, because the mean of its divisors is an integer number (261523353).

Almost surely, 2^9290001728 is an apocalyptic number.

9290001728 is a gapful number since it is divisible by the number (98) 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 9290001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983980826).

9290001728 is an abundant number, since it is smaller than the sum of its proper divisors (12677959924).

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

9290001728 is a wasteful number, since it uses less digits than its factorization.

9290001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72320 (or 72303 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 9290001728 is about 96384.6550442548. The cubic root of 9290001728 is about 2102.1898342134.

The spelling of 9290001728 in words is "nine billion, two hundred ninety million, one thousand, seven hundred twenty-eight".