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28965376 = 291137139
BaseRepresentation
bin110111001111…
…1101000000000
32000111121000201
41232133220000
524403343001
62512454544
7501126106
oct156375000
960447021
1028965376
1115394130
12984a454
13600209b
143bbdc76
152822501
hex1b9fa00

28965376 has 80 divisors (see below), whose sum is σ = 65308320. Its totient is φ = 12718080.

The previous prime is 28965361. The next prime is 28965389. The reversal of 28965376 is 67356982.

Its product of digits (544320) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208315 + ... + 208453.

It is an arithmetic number, because the mean of its divisors is an integer number (816354).

Almost surely, 228965376 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 28965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160).

28965376 is an abundant number, since it is smaller than the sum of its proper divisors (36342944).

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

28965376 is a wasteful number, since it uses less digits than its factorization.

28965376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 28965376 is about 5381.9490893170. The cubic root of 28965376 is about 307.1093627283.

The spelling of 28965376 in words is "twenty-eight million, nine hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 139 148 176 256 278 296 352 407 512 556 592 704 814 1112 1184 1408 1529 1628 2224 2368 2816 3058 3256 4448 4736 5143 5632 6116 6512 8896 9472 10286 12232 13024 17792 18944 20572 24464 26048 35584 41144 48928 52096 56573 71168 82288 97856 104192 113146 164576 195712 208384 226292 329152 391424 452584 658304 782848 905168 1316608 1810336 2633216 3620672 7241344 14482688 28965376