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28630440 = 23325671187
BaseRepresentation
bin110110100110…
…1110110101000
31222212120120200
41231031312220
524312133230
62501352200
7465232446
oct155156650
958776520
1028630440
1115185523
129708660
135c157b7
143b33b96
1527a8160
hex1b4dda8

28630440 has 96 divisors (see below), whose sum is σ = 94517280. Its totient is φ = 7514496.

The previous prime is 28630429. The next prime is 28630451. The reversal of 28630440 is 4403682.

28630440 is a `hidden beast` number, since 28 + 630 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28630429) and next prime (28630451).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23527 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 228630440 is an apocalyptic number.

28630440 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 28630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47258640).

28630440 is an abundant number, since it is smaller than the sum of its proper divisors (65886840).

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

28630440 is a wasteful number, since it uses less digits than its factorization.

28630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28630440 is about 5350.7420046195. The cubic root of 28630440 is about 305.9210356288.

The spelling of 28630440 in words is "twenty-eight million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1187 1206 1340 1608 2010 2374 2412 2680 3015 3561 4020 4748 4824 5935 6030 7122 8040 9496 10683 11870 12060 14244 17805 21366 23740 24120 28488 35610 42732 47480 53415 71220 79529 85464 106830 142440 159058 213660 238587 318116 397645 427320 477174 636232 715761 795290 954348 1192935 1431522 1590580 1908696 2385870 2863044 3181160 3578805 4771740 5726088 7157610 9543480 14315220 28630440