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28001792 = 29713601
BaseRepresentation
bin110101011010…
…0011000000000
31221200122020102
41222310120000
524132024132
62440101532
7460003610
oct152643000
957618212
1028001792
1114896185
1294648a8
135a55610
143a0ca40
1526d1c62
hex1ab4600

28001792 has 80 divisors (see below), whose sum is σ = 68974752. Its totient is φ = 11059200.

The previous prime is 28001789. The next prime is 28001819. The reversal of 28001792 is 29710082.

It is a happy number.

It is a super-2 number, since 2×280017922 = 1568200710422528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46292 + ... + 46892.

Almost surely, 228001792 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 28001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34487376).

28001792 is an abundant number, since it is smaller than the sum of its proper divisors (40972960).

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

28001792 is an equidigital number, since it uses as much as digits as its factorization.

28001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 28001792 is about 5291.6719475039. The cubic root of 28001792 is about 303.6653751058.

It can be divided in two parts, 2800 and 1792, that multiplied together give a square (5017600 = 22402).

The spelling of 28001792 in words is "twenty-eight million, one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 601 728 832 896 1202 1456 1664 1792 2404 2912 3328 3584 4207 4808 5824 6656 7813 8414 9616 11648 15626 16828 19232 23296 31252 33656 38464 46592 54691 62504 67312 76928 109382 125008 134624 153856 218764 250016 269248 307712 437528 500032 538496 875056 1000064 1076992 1750112 2000128 2153984 3500224 4000256 7000448 14000896 28001792