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28140192 = 2532199491
BaseRepresentation
bin110101101011…
…0001010100000
31221221200002100
41223112022200
524200441232
62443050400
7461121243
oct153261240
957850070
1028140192
1114980163
129510a00
135aa3602
143a4725a
15270cc7c
hex1ad62a0

28140192 has 72 divisors (see below), whose sum is σ = 80589600. Its totient is φ = 9313920.

The previous prime is 28140187. The next prime is 28140199. The reversal of 28140192 is 29104182.

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 (28140199) 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 11 ways as a sum of consecutive naturals, for example, 57067 + ... + 57557.

It is an arithmetic number, because the mean of its divisors is an integer number (1119300).

Almost surely, 228140192 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 28140192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40294800).

28140192 is an abundant number, since it is smaller than the sum of its proper divisors (52449408).

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

28140192 is a wasteful number, since it uses less digits than its factorization.

28140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 28140192 is about 5304.7329810274. The cubic root of 28140192 is about 304.1648459598.

The spelling of 28140192 in words is "twenty-eight million, one hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 491 597 796 982 1194 1473 1592 1791 1964 2388 2946 3184 3582 3928 4419 4776 5892 6368 7164 7856 8838 9552 11784 14328 15712 17676 19104 23568 28656 35352 47136 57312 70704 97709 141408 195418 293127 390836 586254 781672 879381 1172508 1563344 1758762 2345016 3126688 3517524 4690032 7035048 9380064 14070096 28140192