Search a number
-
+
28975760 = 24511191733
BaseRepresentation
bin110111010001…
…0001010010000
32000112010021022
41232202022100
524404211020
62513015012
7501201302
oct156421220
960463238
1028975760
11153a0a10
129854468
136006a28
143bc3972
152825625
hex1ba2290

28975760 has 80 divisors (see below), whose sum is σ = 77405760. Its totient is φ = 9976320.

The previous prime is 28975757. The next prime is 28975777. The reversal of 28975760 is 6757982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 15854 + ... + 17586.

It is an arithmetic number, because the mean of its divisors is an integer number (967572).

Almost surely, 228975760 is an apocalyptic number.

28975760 is a gapful number since it is divisible by the number (20) 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 28975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38702880).

28975760 is an abundant number, since it is smaller than the sum of its proper divisors (48430000).

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

28975760 is a wasteful number, since it uses less digits than its factorization.

28975760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 28975760 is about 5382.9137091356. The cubic root of 28975760 is about 307.1460576040.

The spelling of 28975760 in words is "twenty-eight million, nine hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 1733 2090 3344 3466 4180 6932 8360 8665 13864 16720 17330 19063 27728 32927 34660 38126 65854 69320 76252 95315 131708 138640 152504 164635 190630 263416 305008 329270 362197 381260 526832 658540 724394 762520 1317080 1448788 1525040 1810985 2634160 2897576 3621970 5795152 7243940 14487880 28975760