Search a number
-
+
28828904 = 2313416761
BaseRepresentation
bin110110111111…
…0010011101000
32000020122211012
41231332103220
524340011104
62505523052
7500020166
oct155762350
960218735
1028828904
1115300645
1297a3488
135c84c30
143b86236
1527e6d6e
hex1b7e4e8

28828904 has 32 divisors (see below), whose sum is σ = 59640840. Its totient is φ = 12979200.

The previous prime is 28828901. The next prime is 28828937. The reversal of 28828904 is 40982882.

It can be written as a sum of positive squares in 4 ways, for example, as 16564900 + 12264004 = 4070^2 + 3502^2 .

It is a super-2 number, since 2×288289042 = 1662211411682432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (28828901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884 + ... + 7644.

Almost surely, 228828904 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 28828904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820420).

28828904 is an abundant number, since it is smaller than the sum of its proper divisors (30811936).

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

28828904 is a wasteful number, since it uses less digits than its factorization.

28828904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 28828904 is about 5369.2554418653. The cubic root of 28828904 is about 306.6262822267.

It can be divided in two parts, 288 and 28904, that added together give a palindrome (29192).

The spelling of 28828904 in words is "twenty-eight million, eight hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 6761 13522 27044 54088 87893 175786 277201 351572 554402 703144 1108804 2217608 3603613 7207226 14414452 28828904