Search a number
-
+
28847616 = 29372683
BaseRepresentation
bin110111000001…
…0111000000000
32000021121111020
41232002320000
524341110431
62510145440
7500125560
oct156027000
960247436
1028847616
1115313706
1297b2280
135c905c5
143b8cda0
1527ec696
hex1b82e00

28847616 has 80 divisors (see below), whose sum is σ = 87863424. Its totient is φ = 8239104.

The previous prime is 28847603. The next prime is 28847617. The reversal of 28847616 is 61674882.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28847617) 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, 9411 + ... + 12093.

Almost surely, 228847616 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 28847616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931712).

28847616 is an abundant number, since it is smaller than the sum of its proper divisors (59015808).

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

28847616 is an equidigital number, since it uses as much as digits as its factorization.

28847616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2695 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 28847616 is about 5370.9976726861. The cubic root of 28847616 is about 306.6926086015.

The spelling of 28847616 in words is "twenty-eight million, eight hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2683 2688 3584 5366 5376 8049 10732 10752 16098 18781 21464 32196 37562 42928 56343 64392 75124 85856 112686 128784 150248 171712 225372 257568 300496 343424 450744 515136 600992 686848 901488 1030272 1201984 1373696 1802976 2060544 2403968 3605952 4121088 4807936 7211904 9615872 14423808 28847616