Search a number
-
+
28520640 = 263353301
BaseRepresentation
bin110110011001…
…1000011000000
31222122222222000
41230303003000
524300130030
62455144000
7464264361
oct154630300
958588860
1028520640
111510aa85
129675000
135ba7825
143b05b68
152785860
hex1b330c0

28520640 has 112 divisors (see below), whose sum is σ = 100644960. Its totient is φ = 7603200.

The previous prime is 28520633. The next prime is 28520641. The reversal of 28520640 is 4602582.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28520641) 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, 6990 + ... + 10290.

Almost surely, 228520640 is an apocalyptic number.

28520640 is a gapful number since it is divisible by the number (20) 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 28520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50322480).

28520640 is an abundant number, since it is smaller than the sum of its proper divisors (72124320).

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

28520640 is a wasteful number, since it uses less digits than its factorization.

28520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28520640 is about 5340.4718892622. The cubic root of 28520640 is about 305.5294575077.

The spelling of 28520640 in words is "twenty-eight million, five hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 3301 4320 6602 8640 9903 13204 16505 19806 26408 29709 33010 39612 49515 52816 59418 66020 79224 89127 99030 105632 118836 132040 148545 158448 178254 198060 211264 237672 264080 297090 316896 356508 396120 445635 475344 528160 594180 633792 713016 792240 891270 950688 1056320 1188360 1426032 1584480 1782540 1901376 2376720 2852064 3168960 3565080 4753440 5704128 7130160 9506880 14260320 28520640