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28251936 = 2533191721
BaseRepresentation
bin110101111000…
…1011100100000
31222011100101000
41223301130200
524213030221
62445312000
7462065106
oct153613440
958140330
1028251936
1114a47109
129565600
135b1242b
143a75c76
152730e26
hex1af1720

28251936 has 96 divisors (see below), whose sum is σ = 86788800. Its totient is φ = 8916480.

The previous prime is 28251907. The next prime is 28251953. The reversal of 28251936 is 63915282.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28251936.

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, 15556 + ... + 17276.

It is an arithmetic number, because the mean of its divisors is an integer number (904050).

Almost surely, 228251936 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 28251936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43394400).

28251936 is an abundant number, since it is smaller than the sum of its proper divisors (58536864).

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

28251936 is a wasteful number, since it uses less digits than its factorization.

28251936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1745 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28251936 is about 5315.2550268073. The cubic root of 28251936 is about 304.5669245507.

It can be divided in two parts, 2825 and 1936, that added together give a square (4761 = 692).

The spelling of 28251936 in words is "twenty-eight million, two hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1721 1824 2052 2736 3442 4104 5163 5472 6884 8208 10326 13768 15489 16416 20652 27536 30978 32699 41304 46467 55072 61956 65398 82608 92934 98097 123912 130796 165216 185868 196194 247824 261592 294291 371736 392388 495648 523184 588582 743472 784776 882873 1046368 1177164 1486944 1569552 1765746 2354328 3139104 3531492 4708656 7062984 9417312 14125968 28251936