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28906176 = 2631337313
BaseRepresentation
bin110111001000…
…1001011000000
32000101120211010
41232101023000
524344444201
62511320520
7500461365
oct156211300
960346733
1028906176
1115353702
129820140
135cb1160
143ba646c
15280ebd6
hex1b912c0

28906176 has 112 divisors (see below), whose sum is σ = 84860384. Its totient is φ = 8626176.

The previous prime is 28906169. The next prime is 28906177. The reversal of 28906176 is 67160982.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (28906177) 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, 92196 + ... + 92508.

It is an arithmetic number, because the mean of its divisors is an integer number (757682).

Almost surely, 228906176 is an apocalyptic number.

28906176 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 28906176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42430192).

28906176 is an abundant number, since it is smaller than the sum of its proper divisors (55954208).

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

28906176 is a wasteful number, since it uses less digits than its factorization.

28906176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 28906176 is about 5376.4464100370. The cubic root of 28906176 is about 306.8999946596.

The spelling of 28906176 in words is "twenty-eight million, nine hundred six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 313 416 444 481 592 624 626 832 888 939 962 1184 1248 1252 1443 1776 1878 1924 2368 2496 2504 2886 3552 3756 3848 4069 5008 5772 7104 7512 7696 8138 10016 11544 11581 12207 15024 15392 16276 20032 23088 23162 24414 30048 30784 32552 34743 46176 46324 48828 60096 65104 69486 92352 92648 97656 130208 138972 150553 185296 195312 260416 277944 301106 370592 390624 451659 555888 602212 741184 781248 903318 1111776 1204424 1806636 2223552 2408848 3613272 4817696 7226544 9635392 14453088 28906176