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28760928 = 2537127337
BaseRepresentation
bin110110110110…
…1101101100000
32000010012120120
41231231231200
524330322203
62504240240
7466315050
oct155555540
960105516
1028760928
1115264569
129770080
135c60001
143b69560
1527d1b53
hex1b6db60

28760928 has 96 divisors (see below), whose sum is σ = 87220224. Its totient is φ = 8128512.

The previous prime is 28760917. The next prime is 28760929. The reversal of 28760928 is 82906782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28760928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28760929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85176 + ... + 85512.

It is an arithmetic number, because the mean of its divisors is an integer number (908544).

Almost surely, 228760928 is an apocalyptic number.

28760928 is a gapful number since it is divisible by the number (28) 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 28760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43610112).

28760928 is an abundant number, since it is smaller than the sum of its proper divisors (58459296).

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

28760928 is a wasteful number, since it uses less digits than its factorization.

28760928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 28760928 is about 5362.9215918191. The cubic root of 28760928 is about 306.3850933627.

The spelling of 28760928 in words is "twenty-eight million, seven hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 337 381 508 672 674 762 889 1011 1016 1348 1524 1778 2022 2032 2359 2667 2696 3048 3556 4044 4064 4718 5334 5392 6096 7077 7112 8088 9436 10668 10784 12192 14154 14224 16176 18872 21336 28308 28448 32352 37744 42672 42799 56616 75488 85344 85598 113232 128397 171196 226464 256794 299593 342392 513588 599186 684784 898779 1027176 1198372 1369568 1797558 2054352 2396744 3595116 4108704 4793488 7190232 9586976 14380464 28760928