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28345064 = 2311292383
BaseRepresentation
bin110110000100…
…0001011101000
31222100002010012
41230020023220
524224020224
62451311052
7462633446
oct154101350
958302105
1028345064
1115000080
1295ab488
135b45937
143a9bb96
15274d80e
hex1b082e8

28345064 has 48 divisors (see below), whose sum is σ = 60203520. Its totient is φ = 12407360.

The previous prime is 28345061. The next prime is 28345091. The reversal of 28345064 is 46054382.

28345064 = T177 + T178 + ... + T559.

It is a self number, because there is not a number n which added to its sum of digits gives 28345064.

It is not an unprimeable number, because it can be changed into a prime (28345061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73817 + ... + 74199.

It is an arithmetic number, because the mean of its divisors is an integer number (1254240).

Almost surely, 228345064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28345064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101760).

28345064 is an abundant number, since it is smaller than the sum of its proper divisors (31858456).

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

28345064 is a wasteful number, since it uses less digits than its factorization.

28345064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 28345064 is about 5324.0082644564. The cubic root of 28345064 is about 304.9012096067.

The spelling of 28345064 in words is "twenty-eight million, three hundred forty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 383 638 766 841 1276 1532 1682 2552 3064 3364 4213 6728 8426 9251 11107 16852 18502 22214 33704 37004 44428 74008 88856 122177 244354 322103 488708 644206 977416 1288412 2576824 3543133 7086266 14172532 28345064