Search a number
-
+
28641768 = 23331137281
BaseRepresentation
bin110110101000…
…0100111101000
31222220011010020
41231100213220
524313014033
62501520440
7465310461
oct155204750
958804106
1028641768
1115192a91
129713120
135c1a9bc
143b37d68
1527ab6b3
hex1b509e8

28641768 has 64 divisors (see below), whose sum is σ = 74718720. Its totient is φ = 9139200.

The previous prime is 28641751. The next prime is 28641793. The reversal of 28641768 is 86714682.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101788 + ... + 102068.

It is an arithmetic number, because the mean of its divisors is an integer number (1167480).

Almost surely, 228641768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28641768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37359360).

28641768 is an abundant number, since it is smaller than the sum of its proper divisors (46076952).

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

28641768 is a wasteful number, since it uses less digits than its factorization.

28641768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 28641768 is about 5351.8004447102. The cubic root of 28641768 is about 305.9613774997.

The spelling of 28641768 in words is "twenty-eight million, six hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 137 186 248 274 281 372 411 548 562 744 822 843 1096 1124 1644 1686 2248 3288 3372 4247 6744 8494 8711 12741 16988 17422 25482 26133 33976 34844 38497 50964 52266 69688 76994 101928 104532 115491 153988 209064 230982 307976 461964 923928 1193407 2386814 3580221 4773628 7160442 9547256 14320884 28641768