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28924992 = 263319881
BaseRepresentation
bin110111001010…
…1110001000000
32000102112122000
41232111301000
524401044432
62511544000
7500600265
oct156256100
960375560
1028924992
1115366858
12982b000
135cb98a5
143bad26c
15281557c
hex1b95c40

28924992 has 112 divisors (see below), whose sum is σ = 89611200. Its totient is φ = 9123840.

The previous prime is 28924979. The next prime is 28924997. The reversal of 28924992 is 29942982.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28924997) 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 15 ways as a sum of consecutive naturals, for example, 32392 + ... + 33272.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 228924992 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 28924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44805600).

28924992 is an abundant number, since it is smaller than the sum of its proper divisors (60686208).

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

28924992 is a wasteful number, since it uses less digits than its factorization.

28924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 28924992 is about 5378.1959800662. The cubic root of 28924992 is about 306.9665707180.

It can be divided in two parts, 289 and 24992, that added together give a square (25281 = 1592).

The spelling of 28924992 in words is "twenty-eight million, nine hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 881 912 1026 1216 1368 1728 1762 1824 2052 2643 2736 3524 3648 4104 5286 5472 7048 7929 8208 10572 10944 14096 15858 16416 16739 21144 23787 28192 31716 32832 33478 42288 47574 50217 56384 63432 66956 84576 95148 100434 126864 133912 150651 169152 190296 200868 253728 267824 301302 380592 401736 451953 507456 535648 602604 761184 803472 903906 1071296 1205208 1522368 1606944 1807812 2410416 3213888 3615624 4820832 7231248 9641664 14462496 28924992