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28969416 = 23327229251
BaseRepresentation
bin110111010000…
…0100111001000
32000111210120100
41232200213020
524404010131
62512525400
7501143640
oct156404710
960453510
1028969416
1115397173
129850860
136003b88
143bc1520
1528237e6
hex1ba09c8

28969416 has 96 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 8208000.

The previous prime is 28969403. The next prime is 28969427. The reversal of 28969416 is 61496982.

It is a happy number.

It is a super-3 number, since 3×289694163 (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 115291 + ... + 115541.

It is an arithmetic number, because the mean of its divisors is an integer number (941850).

Almost surely, 228969416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28969416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

28969416 is an abundant number, since it is smaller than the sum of its proper divisors (61448184).

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

28969416 is a wasteful number, since it uses less digits than its factorization.

28969416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 28969416 is about 5382.3244049388. The cubic root of 28969416 is about 307.1236402822.

The spelling of 28969416 in words is "twenty-eight million, nine hundred sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 229 251 252 458 502 504 687 753 916 1004 1374 1506 1603 1757 1832 2008 2061 2259 2748 3012 3206 3514 4122 4518 4809 5271 5496 6024 6412 7028 8244 9036 9618 10542 12824 14056 14427 15813 16488 18072 19236 21084 28854 31626 38472 42168 57479 57708 63252 114958 115416 126504 172437 229916 344874 402353 459832 517311 689748 804706 1034622 1207059 1379496 1609412 2069244 2414118 3218824 3621177 4138488 4828236 7242354 9656472 14484708 28969416