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28957368 = 233111923251
BaseRepresentation
bin110111001110…
…1101010111000
32000111012001010
41232131222320
524403113433
62512353520
7501063546
oct156355270
960435033
1028957368
1115389110
1298458a0
135ccb54b
143bbad96
15281ee63
hex1b9dab8

28957368 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 7920000.

The previous prime is 28957351. The next prime is 28957373. The reversal of 28957368 is 86375982.

It is a super-2 number, since 2×289573682 = 1677058322974848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115243 + ... + 115493.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 228957368 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 28957368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

28957368 is an abundant number, since it is smaller than the sum of its proper divisors (58133832).

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

28957368 is a wasteful number, since it uses less digits than its factorization.

28957368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 28957368 is about 5381.2050694988. The cubic root of 28957368 is about 307.0810581478.

The spelling of 28957368 in words is "twenty-eight million, nine hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 23 24 33 38 44 46 57 66 69 76 88 92 114 132 138 152 184 209 228 251 253 264 276 418 437 456 502 506 552 627 753 759 836 874 1004 1012 1254 1311 1506 1518 1672 1748 2008 2024 2508 2622 2761 3012 3036 3496 4769 4807 5016 5244 5522 5773 6024 6072 8283 9538 9614 10488 11044 11546 14307 14421 16566 17319 19076 19228 22088 23092 28614 28842 33132 34638 38152 38456 46184 52459 57228 57684 63503 66264 69276 104918 109687 114456 115368 127006 138552 157377 190509 209836 219374 254012 314754 329061 381018 419672 438748 508024 629508 658122 762036 877496 1206557 1259016 1316244 1524072 2413114 2632488 3619671 4826228 7239342 9652456 14478684 28957368