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2807028 = 223374779
BaseRepresentation
bin1010101101010011110100
312021121112000
422231103310
51204311103
6140055300
732600520
oct12552364
95247460
102807028
111647a64
12b34530
13773883
14530d80
153a6aa3
hex2ad4f4

2807028 has 96 divisors (see below), whose sum is σ = 8601600. Its totient is φ = 775008.

The previous prime is 2807027. The next prime is 2807071. The reversal of 2807028 is 8207082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2806992 and 2807010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2807027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35493 + ... + 35571.

It is an arithmetic number, because the mean of its divisors is an integer number (89600).

22807028 is an apocalyptic number.

2807028 is a gapful number since it is divisible by the number (28) 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 2807028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300800).

2807028 is an abundant number, since it is smaller than the sum of its proper divisors (5794572).

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

2807028 is a wasteful number, since it uses less digits than its factorization.

2807028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2807028 is about 1675.4187536255. The cubic root of 2807028 is about 141.0638009137.

The spelling of 2807028 in words is "two million, eight hundred seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 79 84 94 108 126 141 158 188 189 237 252 282 316 329 378 423 474 553 564 658 711 756 846 948 987 1106 1269 1316 1422 1659 1692 1974 2133 2212 2538 2844 2961 3318 3713 3948 4266 4977 5076 5922 6636 7426 8532 8883 9954 11139 11844 14852 14931 17766 19908 22278 25991 29862 33417 35532 44556 51982 59724 66834 77973 100251 103964 133668 155946 200502 233919 311892 401004 467838 701757 935676 1403514 2807028