Search a number
-
+
28718460 = 223251031549
BaseRepresentation
bin110110110001…
…1010101111100
32000001001022200
41231203111330
524322442320
62503311500
7466050201
oct155432574
960031280
1028718460
1115235671
12974b590
135c46894
143b57ca8
1527c4290
hex1b6357c

28718460 has 72 divisors (see below), whose sum is σ = 88015200. Its totient is φ = 7579008.

The previous prime is 28718449. The next prime is 28718471. The reversal of 28718460 is 6481782.

It is an interprime number because it is at equal distance from previous prime (28718449) and next prime (28718471).

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

It is a congruent number.

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, 17766 + ... + 19314.

Almost surely, 228718460 is an apocalyptic number.

28718460 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 28718460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007600).

28718460 is an abundant number, since it is smaller than the sum of its proper divisors (59296740).

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

28718460 is a wasteful number, since it uses less digits than its factorization.

28718460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1662 counting only the distinct ones).

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

The square root of 28718460 is about 5358.9607201397. The cubic root of 28718460 is about 306.2342177068.

The spelling of 28718460 in words is "twenty-eight million, seven hundred eighteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1549 1854 2060 3090 3098 3708 4635 4647 6180 6196 7745 9270 9294 13941 15490 18540 18588 23235 27882 30980 46470 55764 69705 92940 139410 159547 278820 319094 478641 638188 797735 957282 1435923 1595470 1914564 2393205 2871846 3190940 4786410 5743692 7179615 9572820 14359230 28718460