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28804440 = 2335753647
BaseRepresentation
bin110110111100…
…0010101011000
32000012102021010
41231320111120
524333220230
62505213520
7466555650
oct155702530
960172233
1028804440
1115294225
1297912a0
135c76a62
143b7b360
1527de9b0
hex1b78558

28804440 has 128 divisors (see below), whose sum is σ = 100776960. Its totient is φ = 6449664.

The previous prime is 28804429. The next prime is 28804481. The reversal of 28804440 is 4440882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28804398 and 28804407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44197 + ... + 44843.

It is an arithmetic number, because the mean of its divisors is an integer number (787320).

Almost surely, 228804440 is an apocalyptic number.

28804440 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 28804440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50388480).

28804440 is an abundant number, since it is smaller than the sum of its proper divisors (71972520).

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

28804440 is a wasteful number, since it uses less digits than its factorization.

28804440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 28804440 is about 5366.9768026329. The cubic root of 28804440 is about 306.5395240641.

The spelling of 28804440 in words is "twenty-eight million, eight hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 647 742 795 840 1060 1113 1272 1294 1484 1590 1855 1941 2120 2226 2588 2968 3180 3235 3710 3882 4452 4529 5176 5565 6360 6470 7420 7764 8904 9058 9705 11130 12940 13587 14840 15528 18116 19410 22260 22645 25880 27174 34291 36232 38820 44520 45290 54348 67935 68582 77640 90580 102873 108696 135870 137164 171455 181160 205746 240037 271740 274328 342910 411492 480074 514365 543480 685820 720111 822984 960148 1028730 1200185 1371640 1440222 1920296 2057460 2400370 2880444 3600555 4114920 4800740 5760888 7201110 9601480 14402220 28804440