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2928828 = 2237217293
BaseRepresentation
bin1011001011000010111100
312111210121010
423023002330
51222210303
6142435220
733615600
oct13130274
95453533
102928828
111720521
12b92b10
137b7146
14563500
153ccc03
hex2cb0bc

2928828 has 72 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 784896.

The previous prime is 2928823. The next prime is 2928829. The reversal of 2928828 is 8288292.

2928828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928823) 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 23 ways as a sum of consecutive naturals, for example, 9850 + ... + 10142.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

22928828 is an apocalyptic number.

2928828 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 2928828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

2928828 is an abundant number, since it is smaller than the sum of its proper divisors (5517204).

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

2928828 is a wasteful number, since it uses less digits than its factorization.

2928828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 2928828 is about 1711.3818977657. The cubic root of 2928828 is about 143.0752859636.

Adding to 2928828 its product of digits (36864), we get a palindrome (2965692).

The spelling of 2928828 in words is "two million, nine hundred twenty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 293 294 357 476 586 588 714 833 879 1172 1428 1666 1758 2051 2499 3332 3516 4102 4981 4998 6153 8204 9962 9996 12306 14357 14943 19924 24612 28714 29886 34867 43071 57428 59772 69734 86142 104601 139468 172284 209202 244069 418404 488138 732207 976276 1464414 2928828