10828620 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 2623680.

The previous prime is 10828619. The next prime is 10828621. The reversal of 10828620 is 2682801.

10828620 is a `hidden beast` number, since 10 + 8 + 28 + 620 = 666.

10828620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10828619) and next prime (10828621).

It is a super-2 number, since 2×10828620² = 234518022208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10828621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5029 + ... + 6851.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^10828620 is an apocalyptic number.

10828620 is a gapful number since it is divisible by the number (10) 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 10828620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

10828620 is an abundant number, since it is smaller than the sum of its proper divisors (25943220).

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

10828620 is a wasteful number, since it uses less digits than its factorization.

10828620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10828620 is about 3290.6868583929. The cubic root of 10828620 is about 221.2369713672.

The spelling of 10828620 in words is "ten million, eight hundred twenty-eight thousand, six hundred twenty".