10284332832 has 240 divisors, whose sum is σ = 31467744000. Its totient is φ = 3291425280.

The previous prime is 10284332827. The next prime is 10284332879. The reversal of 10284332832 is 23823348201.

10284332832 is a `hidden beast` number, since 10 + 284 + 332 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11972019 + ... + 11972877.

It is an arithmetic number, because the mean of its divisors is an integer number (131115600).

Almost surely, 2^10284332832 is an apocalyptic number.

10284332832 is a gapful number since it is divisible by the number (12) 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 10284332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733872000).

10284332832 is an abundant number, since it is smaller than the sum of its proper divisors (21183411168).

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

10284332832 is a wasteful number, since it uses less digits than its factorization.

10284332832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10284332832 in words is "ten billion, two hundred eighty-four million, three hundred thirty-two thousand, eight hundred thirty-two".