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28100772 = 22327195869
BaseRepresentation
bin110101100110…
…0100010100100
31221212200000100
41223030202210
524143211042
62442144100
7460565310
oct153144244
957780010
1028100772
1114953587
1294b2030
135a8b69b
143a36b40
15270124c
hex1acc8a4

28100772 has 72 divisors (see below), whose sum is σ = 85467200. Its totient is φ = 7604928.

The previous prime is 28100767. The next prime is 28100773. The reversal of 28100772 is 27700182.

It is not an unprimeable number, because it can be changed into a prime (28100773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1854 + ... + 7722.

Almost surely, 228100772 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 28100772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42733600).

28100772 is an abundant number, since it is smaller than the sum of its proper divisors (57366428).

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

28100772 is a wasteful number, since it uses less digits than its factorization.

28100772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 28100772 is about 5301.0161290077. The cubic root of 28100772 is about 304.0227504904.

The spelling of 28100772 in words is "twenty-eight million, one hundred thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 5869 11738 17607 23476 35214 41083 52821 70428 82166 105642 111511 123249 164332 211284 223022 246498 334533 369747 446044 492996 669066 739494 780577 1003599 1338132 1478988 1561154 2007198 2341731 3122308 4014396 4683462 7025193 9366924 14050386 28100772