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28138536 = 2333177997
BaseRepresentation
bin110101101010…
…1110000101000
31221221120211000
41223111300220
524200413121
62443035000
7461113356
oct153256050
957846730
1028138536
1114979998
12950ba60
135aa292a
143a467d6
15270c526
hex1ad5c28

28138536 has 128 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 8626176.

The previous prime is 28138531. The next prime is 28138543. The reversal of 28138536 is 63583182.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28138536.

It is not an unprimeable number, because it can be changed into a prime (28138531) 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, 290040 + ... + 290136.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 228138536 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 28138536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

28138536 is an abundant number, since it is smaller than the sum of its proper divisors (56533464).

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

28138536 is a wasteful number, since it uses less digits than its factorization.

28138536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 28138536 is about 5304.5768917040. The cubic root of 28138536 is about 304.1588793236.

The spelling of 28138536 in words is "twenty-eight million, one hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 79 97 102 108 136 153 158 194 204 216 237 291 306 316 388 408 459 474 582 612 632 711 776 873 918 948 1164 1224 1343 1422 1649 1746 1836 1896 2133 2328 2619 2686 2844 3298 3492 3672 4029 4266 4947 5238 5372 5688 6596 6984 7663 8058 8532 9894 10476 10744 12087 13192 14841 15326 16116 17064 19788 20952 22989 24174 29682 30652 32232 36261 39576 44523 45978 48348 59364 61304 68967 72522 89046 91956 96696 118728 130271 137934 145044 178092 183912 206901 260542 275868 290088 356184 390813 413802 521084 551736 781626 827604 1042168 1172439 1563252 1655208 2344878 3126504 3517317 4689756 7034634 9379512 14069268 28138536