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28901520 = 24325137293
BaseRepresentation
bin110111001000…
…0000010010000
32000101100102200
41232100002100
524344322040
62511243200
7500441664
oct156200220
960340380
1028901520
111535015a
129819500
135cabcbb
143ba48a4
15280d630
hex1b90090

28901520 has 120 divisors (see below), whose sum is σ = 98103096. Its totient is φ = 7624704.

The previous prime is 28901507. The next prime is 28901531. The reversal of 28901520 is 2510982.

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 18558864 = 3216^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98494 + ... + 98786.

Almost surely, 228901520 is an apocalyptic number.

28901520 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 28901520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49051548).

28901520 is an abundant number, since it is smaller than the sum of its proper divisors (69201576).

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

28901520 is a wasteful number, since it uses less digits than its factorization.

28901520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28901520 is about 5376.0133928405. The cubic root of 28901520 is about 306.8835160231.

The spelling of 28901520 in words is "twenty-eight million, nine hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 293 360 411 548 586 685 720 822 879 1096 1172 1233 1370 1465 1644 1758 2055 2192 2344 2466 2637 2740 2930 3288 3516 4110 4395 4688 4932 5274 5480 5860 6165 6576 7032 8220 8790 9864 10548 10960 11720 12330 13185 14064 16440 17580 19728 21096 23440 24660 26370 32880 35160 40141 42192 49320 52740 70320 80282 98640 105480 120423 160564 200705 210960 240846 321128 361269 401410 481692 602115 642256 722538 802820 963384 1204230 1445076 1605640 1806345 1926768 2408460 2890152 3211280 3612690 4816920 5780304 7225380 9633840 14450760 28901520