10228032 has 70 divisors (see below), whose sum is σ = 30334458. Its totient is φ = 3407616.

The previous prime is 10228027. The next prime is 10228069. The reversal of 10228032 is 23082201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 2742336 = 2736^2 + 1656^2 .

It is a super-2 number, since 2×10228032² = 209225277186048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10227996 and 10228014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4198 + ... + 6170.

Almost surely, 2^10228032 is an apocalyptic number.

10228032 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 10228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167229).

10228032 is an abundant number, since it is smaller than the sum of its proper divisors (20106426).

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

10228032 is an equidigital number, since it uses as much as digits as its factorization.

10228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10228032 is about 3198.1294532898. The cubic root of 10228032 is about 217.0687769986.

The spelling of 10228032 in words is "ten million, two hundred twenty-eight thousand, thirty-two".