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28416320 = 26588801
BaseRepresentation
bin110110001100…
…1100101000000
31222110200212022
41230121211000
524233310240
62453021012
7463351262
oct154314500
958420768
1028416320
1115049669
129624768
135b6c1ba
143ab9b32
1527649b5
hex1b19940

28416320 has 28 divisors (see below), whose sum is σ = 67667124. Its totient is φ = 11366400.

The previous prime is 28416307. The next prime is 28416329. The reversal of 28416320 is 2361482.

It can be written as a sum of positive squares in 2 ways, for example, as 3655744 + 24760576 = 1912^2 + 4976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28416320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28416329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44081 + ... + 44720.

It is an arithmetic number, because the mean of its divisors is an integer number (2416683).

Almost surely, 228416320 is an apocalyptic number.

28416320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28416320 is an abundant number, since it is smaller than the sum of its proper divisors (39250804).

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

28416320 is an equidigital number, since it uses as much as digits as its factorization.

28416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88818 (or 88808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 28416320 is about 5330.6960145932. The cubic root of 28416320 is about 305.1564905078.

The spelling of 28416320 in words is "twenty-eight million, four hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 88801 177602 355204 444005 710408 888010 1420816 1776020 2841632 3552040 5683264 7104080 14208160 28416320