Search a number
-
+
28057920 = 2635112657
BaseRepresentation
bin110101100001…
…0000101000000
31221210111020020
41223002011000
524140323140
62441213440
7460326342
oct153020500
957714206
1028057920
1114924370
129491280
135a75027
143a25292
1526e36d0
hex1ac2140

28057920 has 112 divisors (see below), whose sum is σ = 97219008. Its totient is φ = 6799360.

The previous prime is 28057891. The next prime is 28057937. The reversal of 28057920 is 2975082.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9232 + ... + 11888.

Almost surely, 228057920 is an apocalyptic number.

28057920 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 28057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48609504).

28057920 is an abundant number, since it is smaller than the sum of its proper divisors (69161088).

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

28057920 is a wasteful number, since it uses less digits than its factorization.

28057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 28057920 is about 5296.9727203375. The cubic root of 28057920 is about 303.8681330203.

The spelling of 28057920 in words is "twenty-eight million, fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 2657 3520 5280 5314 7971 10560 10628 13285 15942 21256 26570 29227 31884 39855 42512 53140 58454 63768 79710 85024 87681 106280 116908 127536 146135 159420 170048 175362 212560 233816 255072 292270 318840 350724 425120 438405 467632 510144 584540 637680 701448 850240 876810 935264 1169080 1275360 1402896 1753620 1870528 2338160 2550720 2805792 3507240 4676320 5611584 7014480 9352640 14028960 28057920