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28753740 = 22325315153
BaseRepresentation
bin110110110101…
…1111101001100
32000002211201100
41231223331030
524330104430
62504143100
7466255101
oct155537514
960084640
1028753740
111525a124
129767a90
135c59962
143b66aa8
1527ce960
hex1b6bf4c

28753740 has 72 divisors (see below), whose sum is σ = 90050688. Its totient is φ = 7418880.

The previous prime is 28753729. The next prime is 28753757. The reversal of 28753740 is 4735782.

28753740 is a `hidden beast` number, since 2 + 87 + 537 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28753695 and 28753704.

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, 3004 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (1250704).

Almost surely, 228753740 is an apocalyptic number.

28753740 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 28753740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45025344).

28753740 is an abundant number, since it is smaller than the sum of its proper divisors (61296948).

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

28753740 is a wasteful number, since it uses less digits than its factorization.

28753740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 28753740 is about 5362.2513928386. The cubic root of 28753740 is about 306.3595670707.

The spelling of 28753740 in words is "twenty-eight million, seven hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5153 5580 10306 15459 20612 25765 30918 46377 51530 61836 77295 92754 103060 154590 159743 185508 231885 309180 319486 463770 479229 638972 798715 927540 958458 1437687 1597430 1916916 2396145 2875374 3194860 4792290 5750748 7188435 9584580 14376870 28753740