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28514304 = 2113271317
BaseRepresentation
bin110110011000…
…1100000000000
31222122200021100
41230301200000
524244424204
62455054400
7464240040
oct154614000
958580240
1028514304
1115106245
129671400
135ba4990
143b03720
152783a39
hex1b31800

28514304 has 288 divisors, whose sum is σ = 107321760. Its totient is φ = 7077888.

The previous prime is 28514303. The next prime is 28514359. The reversal of 28514304 is 40341582.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28514303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677304 + ... + 1677320.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 228514304 is an apocalyptic number.

28514304 is a gapful number since it is divisible by the number (24) 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 28514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

28514304 is an abundant number, since it is smaller than the sum of its proper divisors (78807456).

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

28514304 is a wasteful number, since it uses less digits than its factorization.

28514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28514304 is about 5339.8786503066. The cubic root of 28514304 is about 305.5068308765.

Adding to 28514304 its reverse (40341582), we get a palindrome (68855886).

The spelling of 28514304 in words is "twenty-eight million, five hundred fourteen thousand, three hundred four".