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28392912 = 243237732
BaseRepresentation
bin110110001001…
…1110111010000
31222102111202100
41230103313100
524232033122
62452320400
7463223112
oct154236720
958374670
1028392912
1115033019
129613100
135b61652
143ab13b2
15275caac
hex1b13dd0

28392912 has 90 divisors (see below), whose sum is σ = 82741542. Its totient is φ = 9082368.

The previous prime is 28392901. The next prime is 28392919. The reversal of 28392912 is 21929382.

It can be written as a sum of positive squares in 3 ways, for example, as 11451456 + 16941456 = 3384^2 + 4116^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28392919) 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 17 ways as a sum of consecutive naturals, for example, 388908 + ... + 388980.

Almost surely, 228392912 is an apocalyptic number.

It is a pronic number, being equal to 5328×5329.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370771).

28392912 is an abundant number, since it is smaller than the sum of its proper divisors (54348630).

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

28392912 is a wasteful number, since it uses less digits than its factorization.

28392912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 115 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 28392912 is about 5328.4999765412. The cubic root of 28392912 is about 305.0726764014.

The spelling of 28392912 in words is "twenty-eight million, three hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 73 74 111 144 146 148 219 222 292 296 333 438 444 584 592 657 666 876 888 1168 1314 1332 1752 1776 2628 2664 2701 3504 5256 5328 5329 5402 8103 10512 10658 10804 15987 16206 21316 21608 24309 31974 32412 42632 43216 47961 48618 63948 64824 85264 95922 97236 127896 129648 191844 194472 197173 255792 383688 388944 394346 591519 767376 788692 1183038 1577384 1774557 2366076 3154768 3549114 4732152 7098228 9464304 14196456 28392912