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28647630 = 232511191523
BaseRepresentation
bin110110101001…
…0000011001110
31222220110011100
41231102003032
524313211010
62502003530
7465333534
oct155220316
958813140
1028647630
1115197430
1297165a6
135c2057b
143b3a154
1527ad2c0
hex1b520ce

28647630 has 96 divisors (see below), whose sum is σ = 85587840. Its totient is φ = 6575040.

The previous prime is 28647629. The next prime is 28647631. The reversal of 28647630 is 3674682.

28647630 is a `hidden beast` number, since 2 + 8 + 647 + 6 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28647629) and next prime (28647631).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28647631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18049 + ... + 19571.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 228647630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28647630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793920).

28647630 is an abundant number, since it is smaller than the sum of its proper divisors (56940210).

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

28647630 is a wasteful number, since it uses less digits than its factorization.

28647630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28647630 is about 5352.3480828511. The cubic root of 28647630 is about 305.9822493868.

The spelling of 28647630 in words is "twenty-eight million, six hundred forty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1523 1710 1881 2090 3046 3135 3762 4569 6270 7615 9138 9405 13707 15230 16753 18810 22845 27414 28937 33506 45690 50259 57874 68535 83765 86811 100518 137070 144685 150777 167530 173622 251295 260433 289370 301554 318307 434055 502590 520866 636614 753885 868110 954921 1302165 1507770 1591535 1909842 2604330 2864763 3183070 4774605 5729526 9549210 14323815 28647630