10828272 has 160 divisors (see below), whose sum is σ = 35886592. Its totient is φ = 2737152.

The previous prime is 10828267. The next prime is 10828291. The reversal of 10828272 is 27282801.

It is a happy number.

10828272 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10828272 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161583 + ... + 161649.

Almost surely, 2^10828272 is an apocalyptic number.

10828272 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 10828272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943296).

10828272 is an abundant number, since it is smaller than the sum of its proper divisors (25058320).

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

10828272 is a wasteful number, since it uses less digits than its factorization.

10828272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 10828272 is about 3290.6339814692. The cubic root of 10828272 is about 221.2346013733.

The spelling of 10828272 in words is "ten million, eight hundred twenty-eight thousand, two hundred seventy-two".