Search a number
-
+
28688176 = 24111923373
BaseRepresentation
bin110110101101…
…1111100110000
31222222111210001
41231123330300
524321010201
62502515344
7465562666
oct155337460
958874701
1028688176
1115214940
129735b54
135c35b6a
143b4ac36
1527ba301
hex1b5bf30

28688176 has 80 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 11784960.

The previous prime is 28688173. The next prime is 28688213. The reversal of 28688176 is 67188682.

It is a super-2 number, since 2×286881762 = 1646022884413952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (28688173) 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, 76726 + ... + 77098.

It is an arithmetic number, because the mean of its divisors is an integer number (834768).

Almost surely, 228688176 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 28688176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

28688176 is an abundant number, since it is smaller than the sum of its proper divisors (38093264).

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

28688176 is a wasteful number, since it uses less digits than its factorization.

28688176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 28688176 is about 5356.1344269912. The cubic root of 28688176 is about 306.1265371555.

The spelling of 28688176 in words is "twenty-eight million, six hundred eighty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 152 176 184 209 253 304 368 373 418 437 506 746 836 874 1012 1492 1672 1748 2024 2984 3344 3496 4048 4103 4807 5968 6992 7087 8206 8579 9614 14174 16412 17158 19228 28348 32824 34316 38456 56696 65648 68632 76912 77957 94369 113392 137264 155914 163001 188738 311828 326002 377476 623656 652004 754952 1247312 1304008 1509904 1793011 2608016 3586022 7172044 14344088 28688176