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28748610 = 23251171409
BaseRepresentation
bin110110110101…
…0101101000010
32000002120200100
41231222231002
524324423420
62504103230
7466234122
oct155525502
960076610
1028748610
1115256290
129764b16
135c57517
143b64c82
1527cd190
hex1b6ab42

28748610 has 96 divisors (see below), whose sum is σ = 82892160. Its totient is φ = 6854400.

The previous prime is 28748579. The next prime is 28748611. The reversal of 28748610 is 1684782.

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 not an unprimeable number, because it can be changed into a prime (28748611) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70086 + ... + 70494.

It is an arithmetic number, because the mean of its divisors is an integer number (863460).

Almost surely, 228748610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28748610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41446080).

28748610 is an abundant number, since it is smaller than the sum of its proper divisors (54143550).

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

28748610 is a wasteful number, since it uses less digits than its factorization.

28748610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28748610 is about 5361.7730276467. The cubic root of 28748610 is about 306.3413466229.

It can be divided in two parts, 287486 and 10, that added together give a cube (287496 = 663).

The spelling of 28748610 in words is "twenty-eight million, seven hundred forty-eight thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 409 426 495 639 710 781 818 990 1065 1227 1278 1562 2045 2130 2343 2454 3195 3681 3905 4090 4499 4686 6135 6390 7029 7362 7810 8998 11715 12270 13497 14058 18405 22495 23430 26994 29039 35145 36810 40491 44990 58078 67485 70290 80982 87117 134970 145195 174234 202455 261351 290390 319429 404910 435585 522702 638858 871170 958287 1306755 1597145 1916574 2613510 2874861 3194290 4791435 5749722 9582870 14374305 28748610