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23627828 = 22731163167
BaseRepresentation
bin101101000100…
…0100000110100
31122110102021202
41122020200310
522022042303
62202232032
7404555540
oct132104064
948412252
1023627828
1112378a34
127ab5618
134b83783
1431d0a20
15211ac88
hex1688834

23627828 has 48 divisors (see below), whose sum is σ = 49373184. Its totient is φ = 9681120.

The previous prime is 23627819. The next prime is 23627833. The reversal of 23627828 is 82872632.

It is a junction number, because it is equal to n+sod(n) for n = 23627791 and 23627800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141401 + ... + 141567.

It is an arithmetic number, because the mean of its divisors is an integer number (1028608).

Almost surely, 223627828 is an apocalyptic number.

23627828 is a gapful number since it is divisible by the number (28) 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 23627828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686592).

23627828 is an abundant number, since it is smaller than the sum of its proper divisors (25745356).

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

23627828 is a wasteful number, since it uses less digits than its factorization.

23627828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 23627828 is about 4860.8464283497. The cubic root of 23627828 is about 286.9511262064.

The spelling of 23627828 in words is "twenty-three million, six hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 163 167 217 326 334 434 652 668 868 1141 1169 2282 2338 4564 4676 5053 5177 10106 10354 20212 20708 27221 35371 36239 54442 70742 72478 108884 141484 144956 190547 381094 762188 843851 1687702 3375404 5906957 11813914 23627828