10228724352 has 384 divisors, whose sum is σ = 37039317120. Its totient is φ = 2654023680.

The previous prime is 10228724327. The next prime is 10228724371. The reversal of 10228724352 is 25342782201.

10228724352 is a `hidden beast` number, since 1 + 0 + 2 + 287 + 24 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 10732708 + ... + 10733660.

It is an arithmetic number, because the mean of its divisors is an integer number (96456555).

Almost surely, 2^10228724352 is an apocalyptic number.

10228724352 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 10228724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519658560).

10228724352 is an abundant number, since it is smaller than the sum of its proper divisors (26810592768).

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

10228724352 is an equidigital number, since it uses as much as digits as its factorization.

10228724352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10228724352 in words is "ten billion, two hundred twenty-eight million, seven hundred twenty-four thousand, three hundred fifty-two".