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28879776 = 2532149673
BaseRepresentation
bin110111000101…
…0101110100000
32000100020121100
41232022232200
524343123101
62510554400
7500321412
oct156125640
960306540
1028879776
1115335892
129808a00
135ca2133
143b9a9b2
152806e86
hex1b8aba0

28879776 has 72 divisors (see below), whose sum is σ = 82800900. Its totient is φ = 9547776.

The previous prime is 28879759. The next prime is 28879777. The reversal of 28879776 is 67797882.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 2624400 = 5124^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (28879777) 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, 42576 + ... + 43248.

Almost surely, 228879776 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 28879776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41400450).

28879776 is an abundant number, since it is smaller than the sum of its proper divisors (53921124).

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

28879776 is a wasteful number, since it uses less digits than its factorization.

28879776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 28879776 is about 5373.9906959354. The cubic root of 28879776 is about 306.8065356507.

The spelling of 28879776 in words is "twenty-eight million, eight hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 673 894 1192 1341 1346 1788 2019 2384 2682 2692 3576 4038 4768 5364 5384 6057 7152 8076 10728 10768 12114 14304 16152 21456 21536 24228 32304 42912 48456 64608 96912 100277 193824 200554 300831 401108 601662 802216 902493 1203324 1604432 1804986 2406648 3208864 3609972 4813296 7219944 9626592 14439888 28879776