Search a number
-
+
28435576 = 2313793461
BaseRepresentation
bin110110001111…
…0010001111000
31222111200021111
41230132101320
524234414301
62453250104
7463461361
oct154362170
958450244
1028435576
1115062084
129633934
135b77bb0
143ac2b68
15276a551
hex1b1e478

28435576 has 32 divisors (see below), whose sum is σ = 58161600. Its totient is φ = 12954240.

The previous prime is 28435549. The next prime is 28435579. The reversal of 28435576 is 67553482.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28435579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6486 + ... + 9946.

It is an arithmetic number, because the mean of its divisors is an integer number (1817550).

Almost surely, 228435576 is an apocalyptic number.

28435576 is a gapful number since it is divisible by the number (26) 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 28435576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29080800).

28435576 is an abundant number, since it is smaller than the sum of its proper divisors (29726024).

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

28435576 is a wasteful number, since it uses less digits than its factorization.

28435576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3555 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 28435576 is about 5332.5018518515. The cubic root of 28435576 is about 305.2254035666.

The spelling of 28435576 in words is "twenty-eight million, four hundred thirty-five thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 3461 4108 6922 8216 13844 27688 44993 89986 179972 273419 359944 546838 1093676 2187352 3554447 7108894 14217788 28435576