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28792260 = 2234572539
BaseRepresentation
bin110110111010…
…1010111000100
32000011210120000
41231311113010
524332323020
62505041300
7466505310
oct155652704
960153500
1028792260
1115286062
129786230
135c71353
143b76b40
1527db090
hex1b755c4

28792260 has 120 divisors (see below), whose sum is σ = 103266240. Its totient is φ = 6578496.

The previous prime is 28792259. The next prime is 28792279. The reversal of 28792260 is 6229782.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10071 + ... + 12609.

It is an arithmetic number, because the mean of its divisors is an integer number (860552).

Almost surely, 228792260 is an apocalyptic number.

28792260 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 28792260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633120).

28792260 is an abundant number, since it is smaller than the sum of its proper divisors (74473980).

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

28792260 is a wasteful number, since it uses less digits than its factorization.

28792260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28792260 is about 5365.8419656192. The cubic root of 28792260 is about 306.4963110758.

The spelling of 28792260 in words is "twenty-eight million, seven hundred ninety-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2539 2835 3780 5078 5670 7617 10156 11340 12695 15234 17773 22851 25390 30468 35546 38085 45702 50780 53319 68553 71092 76170 88865 91404 106638 114255 137106 152340 159957 177730 205659 213276 228510 266595 274212 319914 342765 355460 411318 457020 479871 533190 639828 685530 799785 822636 959742 1028295 1066380 1371060 1439613 1599570 1919484 2056590 2399355 2879226 3199140 4113180 4798710 5758452 7198065 9597420 14396130 28792260