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28614320 = 2457371381
BaseRepresentation
bin110110100100…
…1111010110000
31222211202110122
41231021322300
524311124240
62501145412
7465134450
oct155117260
958752418
1028614320
11151743a9
1296bb268
135c0b367
143b2bd60
1527a34b5
hex1b49eb0

28614320 has 80 divisors (see below), whose sum is σ = 78143808. Its totient is φ = 9538560.

The previous prime is 28614319. The next prime is 28614367. The reversal of 28614320 is 2341682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 28614320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20030 + ... + 21410.

Almost surely, 228614320 is an apocalyptic number.

28614320 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 28614320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39071904).

28614320 is an abundant number, since it is smaller than the sum of its proper divisors (49529488).

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

28614320 is a wasteful number, since it uses less digits than its factorization.

28614320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 28614320 is about 5349.2354593904. The cubic root of 28614320 is about 305.8636098853.

The spelling of 28614320 in words is "twenty-eight million, six hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1381 1480 2072 2590 2762 2960 4144 5180 5524 6905 9667 10360 11048 13810 19334 20720 22096 27620 38668 48335 51097 55240 77336 96670 102194 110480 154672 193340 204388 255485 357679 386680 408776 510970 715358 773360 817552 1021940 1430716 1788395 2043880 2861432 3576790 4087760 5722864 7153580 14307160 28614320