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28417248 = 2532791249
BaseRepresentation
bin110110001100…
…1110011100000
31222110202010200
41230121303200
524233322443
62453025200
7463354056
oct154316340
958422120
1028417248
111504a332
129625200
135b6c752
143aba1d6
152764dd3
hex1b19ce0

28417248 has 72 divisors (see below), whose sum is σ = 81900000. Its totient is φ = 9345024.

The previous prime is 28417247. The next prime is 28417267. The reversal of 28417248 is 84271482.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28417241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22128 + ... + 23376.

It is an arithmetic number, because the mean of its divisors is an integer number (1137500).

Almost surely, 228417248 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 28417248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40950000).

28417248 is an abundant number, since it is smaller than the sum of its proper divisors (53482752).

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

28417248 is a wasteful number, since it uses less digits than its factorization.

28417248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1333 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28417248 is about 5330.7830569251. The cubic root of 28417248 is about 305.1598123330.

The spelling of 28417248 in words is "twenty-eight million, four hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1249 1264 1422 1896 2498 2528 2844 3747 3792 4996 5688 7494 7584 9992 11241 11376 14988 19984 22482 22752 29976 39968 44964 59952 89928 98671 119904 179856 197342 296013 359712 394684 592026 789368 888039 1184052 1578736 1776078 2368104 3157472 3552156 4736208 7104312 9472416 14208624 28417248