10233792000 has 480 divisors, whose sum is σ = 37426577760. Its totient is φ = 2687385600.

The previous prime is 10233791999. The next prime is 10233792011. The reversal of 10233792000 is 29733201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62783919 + ... + 62784081.

It is an arithmetic number, because the mean of its divisors is an integer number (77972037).

Almost surely, 2^10233792000 is an apocalyptic number.

10233792000 is a gapful number since it is divisible by the number (10) 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 10233792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713288880).

10233792000 is an abundant number, since it is smaller than the sum of its proper divisors (27192785760).

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

10233792000 is a wasteful number, since it uses less digits than its factorization.

10233792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 10233792000 in words is "ten billion, two hundred thirty-three million, seven hundred ninety-two thousand".