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28459040 = 255832143
BaseRepresentation
bin110110010010…
…0000000100000
31222112212110112
41230210000200
524241142130
62453550452
7463616651
oct154440040
958485415
1028459040
1115078775
129645428
135b8578c
143acb528
152772495
hex1b24020

28459040 has 48 divisors (see below), whose sum is σ = 68076288. Its totient is φ = 11241216.

The previous prime is 28459021. The next prime is 28459051. The reversal of 28459040 is 4095482.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 28458988 and 28459006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12209 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (1418256).

Almost surely, 228459040 is an apocalyptic number.

28459040 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 28459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038144).

28459040 is an abundant number, since it is smaller than the sum of its proper divisors (39617248).

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

28459040 is a wasteful number, since it uses less digits than its factorization.

28459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 28459040 is about 5334.7014911802. The cubic root of 28459040 is about 305.3093341082.

The spelling of 28459040 in words is "twenty-eight million, four hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2143 2656 3320 4286 6640 8572 10715 13280 17144 21430 34288 42860 68576 85720 171440 177869 342880 355738 711476 889345 1422952 1778690 2845904 3557380 5691808 7114760 14229520 28459040