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28905140 = 22511375367
BaseRepresentation
bin110111001000…
…0111010110100
32000101112101202
41232100322310
524344431030
62511312032
7500455355
oct156207264
960345352
1028905140
1115352950
12981b618
135cb0844
143ba5d2c
15280e745
hex1b90eb4

28905140 has 96 divisors (see below), whose sum is σ = 70326144. Its totient is φ = 9884160.

The previous prime is 28905133. The next prime is 28905143. The reversal of 28905140 is 4150982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28905143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431387 + ... + 431453.

It is an arithmetic number, because the mean of its divisors is an integer number (732564).

Almost surely, 228905140 is an apocalyptic number.

28905140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28905140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163072).

28905140 is an abundant number, since it is smaller than the sum of its proper divisors (41421004).

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

28905140 is a wasteful number, since it uses less digits than its factorization.

28905140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 28905140 is about 5376.3500630074. The cubic root of 28905140 is about 306.8963281745.

The spelling of 28905140 in words is "twenty-eight million, nine hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 53 55 67 74 106 110 134 148 185 212 220 265 268 335 370 407 530 583 670 737 740 814 1060 1166 1340 1474 1628 1961 2035 2332 2479 2915 2948 3551 3685 3922 4070 4958 5830 7102 7370 7844 8140 9805 9916 11660 12395 14204 14740 17755 19610 21571 24790 27269 35510 39061 39220 43142 49580 54538 71020 78122 86284 107855 109076 131387 136345 156244 195305 215710 262774 272690 390610 431420 525548 545380 656935 781220 1313870 1445257 2627740 2890514 5781028 7226285 14452570 28905140