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28319891382 = 2336733723227
BaseRepresentation
bin11010010111111111…
…110011111110110110
32201002122212112122000
4122113333303332312
5430444343011012
621002053320130
72021536050666
oct322777637666
981078775560
1028319891382
1111012927612
1255a4336046
1328942916a3
1415292601a6
15b0b3a3ddc
hex697ff3fb6

28319891382 has 64 divisors (see below), whose sum is σ = 64064682240. Its totient is φ = 9271075968.

The previous prime is 28319891377. The next prime is 28319891389.

28319891382 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28319891389) 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, 1207653 + ... + 1230879.

It is an arithmetic number, because the mean of its divisors is an integer number (1001010660).

Almost surely, 228319891382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28319891382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032341120).

28319891382 is an abundant number, since it is smaller than the sum of its proper divisors (35744790858).

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

28319891382 is a wasteful number, since it uses less digits than its factorization.

28319891382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23642 (or 23636 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 28319891382 in words is "twenty-eight billion, three hundred nineteen million, eight hundred ninety-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 337 402 603 674 1011 1206 1809 2022 3033 3618 6066 9099 18198 22579 23227 45158 46454 67737 69681 135474 139362 203211 209043 406422 418086 609633 627129 1219266 1254258 1556209 3112418 4668627 7827499 9337254 14005881 15654998 23482497 28011762 42017643 46964994 70447491 84035286 140894982 211342473 422684946 524442433 1048884866 1573327299 3146654598 4719981897 9439963794 14159945691 28319891382