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28792638 = 2337192211
BaseRepresentation
bin110110111010…
…1011100111110
32000011211002000
41231311130332
524332331023
62505043130
7466506360
oct155653476
960154060
1028792638
1115286376
1297864a6
135c71584
143b76d30
1527db243
hex1b7573e

28792638 has 96 divisors (see below), whose sum is σ = 77541120. Its totient is φ = 7756560.

The previous prime is 28792633. The next prime is 28792639. The reversal of 28792638 is 83629782.

28792638 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 2 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28792593 and 28792602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28792633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136353 + ... + 136563.

It is an arithmetic number, because the mean of its divisors is an integer number (807720).

Almost surely, 228792638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28792638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38770560).

28792638 is an abundant number, since it is smaller than the sum of its proper divisors (48748482).

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

28792638 is a wasteful number, since it uses less digits than its factorization.

28792638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28792638 is about 5365.8771883076. The cubic root of 28792638 is about 306.4976523518.

The spelling of 28792638 in words is "twenty-eight million, seven hundred ninety-two thousand, six hundred thirty-eight".