9628258752 has 448 divisors, whose sum is σ = 33911316480. Its totient is φ = 2653793280.

The previous prime is 9628258729. The next prime is 9628258763. The reversal of 9628258752 is 2578528269.

It is a happy number.

9628258752 is a `hidden beast` number, since 9 + 6 + 2 + 8 + 2 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

Its product of digits (4838400) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30372898 + ... + 30373214.

Almost surely, 2^9628258752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9628258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955658240).

9628258752 is an abundant number, since it is smaller than the sum of its proper divisors (24283057728).

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

9628258752 is an equidigital number, since it uses as much as digits as its factorization.

9628258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 9628258752 is about 98123.6910842636. The cubic root of 9628258752 is about 2127.4004708656.

The spelling of 9628258752 in words is "nine billion, six hundred twenty-eight million, two hundred fifty-eight thousand, seven hundred fifty-two".