10835428032 has 252 divisors, whose sum is σ = 36766977520. Its totient is φ = 3030635520.

The previous prime is 10835428027. The next prime is 10835428049. The reversal of 10835428032 is 23082453801.

10835428032 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 542 + 80 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 900069 + ... + 912027.

Almost surely, 2^10835428032 is an apocalyptic number.

10835428032 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 10835428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18383488760).

10835428032 is an abundant number, since it is smaller than the sum of its proper divisors (25931549488).

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

10835428032 is a wasteful number, since it uses less digits than its factorization.

10835428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10835428032 in words is "ten billion, eight hundred thirty-five million, four hundred twenty-eight thousand, thirty-two".