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28248264 = 2335111321
BaseRepresentation
bin110101111000…
…0100011001000
31222011011100000
41223300203020
524212421024
62445243000
7462051312
oct153604310
958134300
1028248264
1114a44380
129563460
135b10865
143a747b2
15272ecc9
hex1af08c8

28248264 has 96 divisors (see below), whose sum is σ = 86617440. Its totient is φ = 8553600.

The previous prime is 28248257. The next prime is 28248277. The reversal of 28248264 is 46284282.

It is a happy number.

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

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

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, 20724 + ... + 22044.

It is an arithmetic number, because the mean of its divisors is an integer number (902265).

Almost surely, 228248264 is an apocalyptic number.

28248264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28248264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43308720).

28248264 is an abundant number, since it is smaller than the sum of its proper divisors (58369176).

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

28248264 is a wasteful number, since it uses less digits than its factorization.

28248264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1337 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 28248264 is about 5314.9095947156. The cubic root of 28248264 is about 304.5537287801.

The spelling of 28248264 in words is "twenty-eight million, two hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1321 1782 1944 2376 2642 2673 3564 3963 5284 5346 7128 7926 10568 10692 11889 14531 15852 21384 23778 29062 31704 35667 43593 47556 58124 71334 87186 95112 107001 116248 130779 142668 174372 214002 261558 285336 321003 348744 392337 428004 523116 642006 784674 856008 1046232 1177011 1284012 1569348 2354022 2568024 3138696 3531033 4708044 7062066 9416088 14124132 28248264