11210628352 has 288 divisors, whose sum is σ = 29574881280. Its totient is φ = 4111810560.

The previous prime is 11210628307. The next prime is 11210628379. The reversal of 11210628352 is 25382601211.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35816548 + ... + 35816860.

It is an arithmetic number, because the mean of its divisors is an integer number (102690560).

Almost surely, 2^11210628352 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 11210628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787440640).

11210628352 is an abundant number, since it is smaller than the sum of its proper divisors (18364252928).

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

11210628352 is a wasteful number, since it uses less digits than its factorization.

11210628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 11210628352 in words is "eleven billion, two hundred ten million, six hundred twenty-eight thousand, three hundred fifty-two".