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28792890 = 2325726529
BaseRepresentation
bin110110111010…
…1100000111010
32000011211102100
41231311200322
524332333030
62505044230
7466510200
oct155654072
960154370
1028792890
1115286585
129786676
135c71719
143b77070
1527db360
hex1b7583a

28792890 has 72 divisors (see below), whose sum is σ = 87097140. Its totient is φ = 6580224.

The previous prime is 28792889. The next prime is 28792891. The reversal of 28792890 is 9829782.

It is an interprime number because it is at equal distance from previous prime (28792889) and next prime (28792891).

It can be written as a sum of positive squares in 2 ways, for example, as 26040609 + 2752281 = 5103^2 + 1659^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28792891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1146 + ... + 7674.

Almost surely, 228792890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28792890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43548570).

28792890 is an abundant number, since it is smaller than the sum of its proper divisors (58304250).

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

28792890 is a wasteful number, since it uses less digits than its factorization.

28792890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 28792890 is about 5365.9006699714. The cubic root of 28792890 is about 306.4985465292.

The spelling of 28792890 in words is "twenty-eight million, seven hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 6529 13058 19587 32645 39174 45703 58761 65290 91406 97935 117522 137109 195870 228515 274218 293805 319921 411327 457030 587610 639842 685545 822654 959763 1371090 1599605 1919526 2056635 2879289 3199210 4113270 4798815 5758578 9597630 14396445 28792890