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28778880 = 2735131153
BaseRepresentation
bin110110111001…
…0000110000000
32000011010012110
41231302012000
524331411010
62504455320
7466421304
oct155620600
960133173
1028778880
1115276aa9
12977a540
135c68230
143b71d04
1527d7120
hex1b72180

28778880 has 128 divisors (see below), whose sum is σ = 98874720. Its totient is φ = 7077888.

The previous prime is 28778879. The next prime is 28778891. The reversal of 28778880 is 8887782.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 24384 + ... + 25536.

Almost surely, 228778880 is an apocalyptic number.

28778880 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 28778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49437360).

28778880 is an abundant number, since it is smaller than the sum of its proper divisors (70095840).

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

28778880 is a wasteful number, since it uses less digits than its factorization.

28778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The square root of 28778880 is about 5364.5950452947. The cubic root of 28778880 is about 306.4488266008.

The spelling of 28778880 in words is "twenty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1153 1248 1560 1664 1920 2080 2306 2496 3120 3459 4160 4612 4992 5765 6240 6918 8320 9224 11530 12480 13836 14989 17295 18448 23060 24960 27672 29978 34590 36896 44967 46120 55344 59956 69180 73792 74945 89934 92240 110688 119912 138360 147584 149890 179868 184480 221376 224835 239824 276720 299780 359736 368960 442752 449670 479648 553440 599560 719472 737920 899340 959296 1106880 1199120 1438944 1798680 1918592 2213760 2398240 2877888 3597360 4796480 5755776 7194720 9592960 14389440 28778880