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28843640 = 2357313323
BaseRepresentation
bin110111000000…
…1111001111000
32000021102000222
41232001321320
524340444030
62510115212
7500111150
oct156017170
960242028
1028843640
1115310721
1297abb08
135c8b857
143b8b760
1527eb3e5
hex1b81e78

28843640 has 64 divisors (see below), whose sum is σ = 76584960. Its totient is φ = 9567360.

The previous prime is 28843637. The next prime is 28843649. The reversal of 28843640 is 4634882.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28843640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28843649) 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 15 ways as a sum of consecutive naturals, for example, 7019 + ... + 10341.

It is an arithmetic number, because the mean of its divisors is an integer number (1196640).

Almost surely, 228843640 is an apocalyptic number.

28843640 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 28843640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38292480).

28843640 is an abundant number, since it is smaller than the sum of its proper divisors (47741320).

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

28843640 is a wasteful number, since it uses less digits than its factorization.

28843640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 28843640 is about 5370.6275238560. The cubic root of 28843640 is about 306.6785177105.

The spelling of 28843640 in words is "twenty-eight million, eight hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 3323 4340 6646 8680 13292 16615 23261 26584 33230 46522 66460 93044 103013 116305 132920 186088 206026 232610 412052 465220 515065 721091 824104 930440 1030130 1442182 2060260 2884364 3605455 4120520 5768728 7210910 14421820 28843640