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10328628 = 2231989509
BaseRepresentation
bin100111011001…
…101000110100
3201102202012210
4213121220310
510121004003
61005213420
7153535422
oct47315064
921382183
1010328628
115915062
123561270
1321a831b
14152c112
15d90503
hex9d9a34

10328628 has 48 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 3218688.

The previous prime is 10328627. The next prime is 10328663. The reversal of 10328628 is 82682301.

10328628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10328595 and 10328604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20038 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 210328628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10328628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

10328628 is an abundant number, since it is smaller than the sum of its proper divisors (15375372).

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

10328628 is a wasteful number, since it uses less digits than its factorization.

10328628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10328628 is about 3213.8182898229. The cubic root of 10328628 is about 217.7781037603.

The spelling of 10328628 in words is "ten million, three hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 509 534 1018 1068 1527 1691 2036 3054 3382 5073 6108 6764 9671 10146 19342 20292 29013 38684 45301 58026 90602 116052 135903 181204 271806 543612 860719 1721438 2582157 3442876 5164314 10328628