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28723136 = 2613192379
BaseRepresentation
bin110110110010…
…0011111000000
32000001021201212
41231210133000
524323120021
62503345252
7466066631
oct155443700
960037655
1028723136
1115239132
129752228
135c48a50
143b59888
1527c585b
hex1b647c0

28723136 has 112 divisors (see below), whose sum is σ = 68275200. Its totient is φ = 11860992.

The previous prime is 28723129. The next prime is 28723169. The reversal of 28723136 is 63132782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 363545 + ... + 363623.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 228723136 is an apocalyptic number.

28723136 is a gapful number since it is divisible by the number (26) 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 28723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600).

28723136 is an abundant number, since it is smaller than the sum of its proper divisors (39552064).

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

28723136 is a wasteful number, since it uses less digits than its factorization.

28723136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 28723136 is about 5359.3969810045. The cubic root of 28723136 is about 306.2508373710.

The spelling of 28723136 in words is "twenty-eight million, seven hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 23 26 32 38 46 52 64 76 79 92 104 152 158 184 208 247 299 304 316 368 416 437 494 598 608 632 736 832 874 988 1027 1196 1216 1264 1472 1501 1748 1817 1976 2054 2392 2528 3002 3496 3634 3952 4108 4784 5056 5681 6004 6992 7268 7904 8216 9568 11362 12008 13984 14536 15808 16432 19136 19513 22724 23621 24016 27968 29072 32864 34523 39026 45448 47242 48032 58144 65728 69046 78052 90896 94484 96064 116288 138092 156104 181792 188968 276184 312208 363584 377936 448799 552368 624416 755872 897598 1104736 1248832 1511744 1795196 2209472 3590392 7180784 14361568 28723136