9752285790 has 320 divisors, whose sum is σ = 30178298304. Its totient is φ = 2238492672.

The previous prime is 9752285771. The next prime is 9752285791. The reversal of 9752285790 is 975822579.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9752285791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28104397 + ... + 28104743.

Almost surely, 2^9752285790 is an apocalyptic number.

9752285790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9752285790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089149152).

9752285790 is an abundant number, since it is smaller than the sum of its proper divisors (20426012514).

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

9752285790 is a wasteful number, since it uses less digits than its factorization.

9752285790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 9752285790 is about 98753.6621599422. The cubic root of 9752285790 is about 2136.4962748212.

The spelling of 9752285790 in words is "nine billion, seven hundred fifty-two million, two hundred eighty-five thousand, seven hundred ninety".