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28153664 = 2671129197
BaseRepresentation
bin110101101100…
…1011101000000
31221222100120022
41223121131000
524201404124
62443233012
7461205440
oct153313500
957870508
1028153664
111498a2a0
129518768
135aa9796
143a4c120
152711c5e
hex1ad9740

28153664 has 112 divisors (see below), whose sum is σ = 72420480. Its totient is φ = 10536960.

The previous prime is 28153663. The next prime is 28153703. The reversal of 28153664 is 46635182.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (34560) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28153661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142814 + ... + 143010.

Almost surely, 228153664 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 28153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210240).

28153664 is an abundant number, since it is smaller than the sum of its proper divisors (44266816).

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

28153664 is a wasteful number, since it uses less digits than its factorization.

28153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 28153664 is about 5306.0026385218. The cubic root of 28153664 is about 304.2133774346.

The spelling of 28153664 in words is "twenty-eight million, one hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 197 203 224 232 308 319 352 394 406 448 464 616 638 704 788 812 928 1232 1276 1379 1576 1624 1856 2167 2233 2464 2552 2758 3152 3248 4334 4466 4928 5104 5516 5713 6304 6496 8668 8932 10208 11032 11426 12608 12992 15169 17336 17864 20416 22064 22852 30338 34672 35728 39991 44128 45704 60676 62843 69344 71456 79982 88256 91408 121352 125686 138688 142912 159964 182816 242704 251372 319928 365632 439901 485408 502744 639856 879802 970816 1005488 1279712 1759604 2010976 2559424 3519208 4021952 7038416 14076832 28153664