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28922940 = 22335192819
BaseRepresentation
bin110111001010…
…1010000111100
32000102102211000
41232111100330
524401013230
62511530300
7500561304
oct156252074
960372730
1028922940
1115365262
129829990
135cb8987
143bac604
152814b60
hex1b9543c

28922940 has 96 divisors (see below), whose sum is σ = 94752000. Its totient is φ = 7304256.

The previous prime is 28922923. The next prime is 28922941. The reversal of 28922940 is 4922982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28922895 and 28922904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28922941) 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, 8851 + ... + 11669.

It is an arithmetic number, because the mean of its divisors is an integer number (987000).

Almost surely, 228922940 is an apocalyptic number.

28922940 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 28922940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47376000).

28922940 is an abundant number, since it is smaller than the sum of its proper divisors (65829060).

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

28922940 is a wasteful number, since it uses less digits than its factorization.

28922940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28922940 is about 5378.0052063939. The cubic root of 28922940 is about 306.9593115941.

It can be divided in two parts, 2892 and 2940, that added together give a cube (5832 = 183).

The spelling of 28922940 in words is "twenty-eight million, nine hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 2819 3420 5130 5638 8457 10260 11276 14095 16914 25371 28190 33828 42285 50742 53561 56380 76113 84570 101484 107122 126855 152226 160683 169140 214244 253710 267805 304452 321366 380565 482049 507420 535610 642732 761130 803415 964098 1071220 1446147 1522260 1606830 1928196 2410245 2892294 3213660 4820490 5784588 7230735 9640980 14461470 28922940