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31828428 = 22322943709
BaseRepresentation
bin111100101101…
…0100111001100
32012220001101200
41321122213030
531122002203
63054105500
7534352152
oct171324714
965801350
1031828428
1116a6a195
12a7ab290
1367952b8
1443273d2
152bda9a3
hex1e5a9cc

31828428 has 72 divisors (see below), whose sum is σ = 85285200. Its totient is φ = 9991296.

The previous prime is 31828427. The next prime is 31828441. The reversal of 31828428 is 82482813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31828392 and 31828401.

It is not an unprimeable number, because it can be changed into a prime (31828421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44538 + ... + 45246.

Almost surely, 231828428 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 31828428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42642600).

31828428 is an abundant number, since it is smaller than the sum of its proper divisors (53456772).

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

31828428 is a wasteful number, since it uses less digits than its factorization.

31828428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 31828428 is about 5641.6689020183. The cubic root of 31828428 is about 316.9117900167.

The spelling of 31828428 in words is "thirty-one million, eight hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 709 774 1044 1247 1418 1548 2127 2494 2836 3741 4254 4988 6381 7482 8508 11223 12762 14964 20561 22446 25524 30487 41122 44892 60974 61683 82244 91461 121948 123366 182922 185049 246732 274383 365844 370098 548766 740196 884123 1097532 1768246 2652369 3536492 5304738 7957107 10609476 15914214 31828428