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28826928 = 2434132959
BaseRepresentation
bin110110111110…
…1110100110000
32000020120010000
41231331310300
524334430203
62505510000
7500011344
oct155756460
960216100
1028826928
11152aa109
1297a2300
135c84070
143b85624
1527e64a3
hex1b7dd30

28826928 has 200 divisors, whose sum is σ = 94525200. Its totient is φ = 8418816.

The previous prime is 28826921. The next prime is 28826929. The reversal of 28826928 is 82962882.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28826921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488563 + ... + 488621.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 228826928 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 28826928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262600).

28826928 is an abundant number, since it is smaller than the sum of its proper divisors (65698272).

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

28826928 is a wasteful number, since it uses less digits than its factorization.

28826928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 28826928 is about 5369.0714280963. The cubic root of 28826928 is about 306.6192764409.

The spelling of 28826928 in words is "twenty-eight million, eight hundred twenty-six thousand, nine hundred twenty-eight".