10228764 has 192 divisors, whose sum is σ = 33868800. Its totient is φ = 2322432.

The previous prime is 10228741. The next prime is 10228769. The reversal of 10228764 is 46782201.

It is a super-2 number, since 2×10228764² = 209255225935392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352702 + ... + 352730.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^10228764 is an apocalyptic number.

10228764 is a gapful number since it is divisible by the number (14) 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 10228764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10228764 is an abundant number, since it is smaller than the sum of its proper divisors (23640036).

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

10228764 is a wasteful number, since it uses less digits than its factorization.

10228764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10228764 is about 3198.2438931389. The cubic root of 10228764 is about 217.0739552693.

The spelling of 10228764 in words is "ten million, two hundred twenty-eight thousand, seven hundred sixty-four".