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28916384 = 257167773
BaseRepresentation
bin110111001001…
…1101010100000
32000102002211012
41232103222200
524400311014
62511440052
7500533220
oct156235240
960362735
1028916384
1115360342
129826028
135cb59b3
143baa080
152812c3e
hex1b93aa0

28916384 has 48 divisors (see below), whose sum is σ = 65536128. Its totient is φ = 12302592.

The previous prime is 28916369. The next prime is 28916387. The reversal of 28916384 is 48361982.

It is a super-3 number, since 3×289163843 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28916387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37022 + ... + 37794.

It is an arithmetic number, because the mean of its divisors is an integer number (1365336).

Almost surely, 228916384 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 28916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768064).

28916384 is an abundant number, since it is smaller than the sum of its proper divisors (36619744).

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

28916384 is a wasteful number, since it uses less digits than its factorization.

28916384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 28916384 is about 5377.3956521722. The cubic root of 28916384 is about 306.9361168876.

It can be divided in two parts, 289 and 16384, that multiplied together give a square (4734976 = 21762).

The spelling of 28916384 in words is "twenty-eight million, nine hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 167 224 334 668 773 1169 1336 1546 2338 2672 3092 4676 5344 5411 6184 9352 10822 12368 18704 21644 24736 37408 43288 86576 129091 173152 258182 516364 903637 1032728 1807274 2065456 3614548 4130912 7229096 14458192 28916384