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28775040 = 273572141
BaseRepresentation
bin110110111000…
…1001010000000
32000010220221020
41231301022000
524331300130
62504425440
7466404150
oct155611200
960126836
1028775040
1115274128
129778280
135c66568
143b70760
1527d5e10
hex1b71280

28775040 has 128 divisors (see below), whose sum is σ = 104872320. Its totient is φ = 6574080.

The previous prime is 28775027. The next prime is 28775053. The reversal of 28775040 is 4057782.

It is an interprime number because it is at equal distance from previous prime (28775027) and next prime (28775053).

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

It is a junction number, because it is equal to n+sod(n) for n = 28774992 and 28775010.

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, 12370 + ... + 14510.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 228775040 is an apocalyptic number.

28775040 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 28775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

28775040 is an abundant number, since it is smaller than the sum of its proper divisors (76097280).

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

28775040 is a wasteful number, since it uses less digits than its factorization.

28775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 28775040 is about 5364.2371312238. The cubic root of 28775040 is about 306.4351960514.

The spelling of 28775040 in words is "twenty-eight million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2141 2240 2688 3360 4282 4480 6423 6720 8564 10705 12846 13440 14987 17128 21410 25692 29974 32115 34256 42820 44961 51384 59948 64230 68512 74935 85640 89922 102768 119896 128460 137024 149870 171280 179844 205536 224805 239792 256920 274048 299740 342560 359688 411072 449610 479584 513840 599480 685120 719376 822144 899220 959168 1027680 1198960 1370240 1438752 1798440 1918336 2055360 2397920 2877504 3596880 4110720 4795840 5755008 7193760 9591680 14387520 28775040