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28892320 = 255359503
BaseRepresentation
bin110111000110…
…1110010100000
32000100212210221
41232031302200
524344023240
62511132424
7500403112
oct156156240
960325727
1028892320
1115344256
129814114
135ca7a62
143ba13b2
15280aa4a
hex1b8dca0

28892320 has 48 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 11501824.

The previous prime is 28892317. The next prime is 28892321. The reversal of 28892320 is 2329882.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28892321) 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, 57189 + ... + 57691.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 228892320 is an apocalyptic number.

28892320 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 28892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

28892320 is an abundant number, since it is smaller than the sum of its proper divisors (39692000).

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

28892320 is a wasteful number, since it uses less digits than its factorization.

28892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 28892320 is about 5375.1576721060. The cubic root of 28892320 is about 306.8509499392.

The spelling of 28892320 in words is "twenty-eight million, eight hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 503 718 1006 1436 1795 2012 2515 2872 3590 4024 5030 5744 7180 8048 10060 11488 14360 16096 20120 28720 40240 57440 80480 180577 361154 722308 902885 1444616 1805770 2889232 3611540 5778464 7223080 14446160 28892320