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28986480 = 24325127317
BaseRepresentation
bin110111010010…
…0110001110000
32000112122222100
41232210301300
524410031410
62513140400
7501244455
oct156446160
960478870
1028986480
11153a8a76
12985a700
13600b883
143bc782c
1528288c0
hex1ba4c70

28986480 has 120 divisors (see below), whose sum is σ = 98422272. Its totient is φ = 7644672.

The previous prime is 28986473. The next prime is 28986481. The reversal of 28986480 is 8468982.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28986481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91282 + ... + 91598.

Almost surely, 228986480 is an apocalyptic number.

28986480 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 28986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49211136).

28986480 is an abundant number, since it is smaller than the sum of its proper divisors (69435792).

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

28986480 is a wasteful number, since it uses less digits than its factorization.

28986480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 28986480 is about 5383.9093603069. The cubic root of 28986480 is about 307.1839306373.

The spelling of 28986480 in words is "twenty-eight million, nine hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 317 360 381 508 634 635 720 762 951 1016 1143 1268 1270 1524 1585 1902 1905 2032 2286 2536 2540 2853 3048 3170 3804 3810 4572 4755 5072 5080 5706 5715 6096 6340 7608 7620 9144 9510 10160 11412 11430 12680 14265 15216 15240 18288 19020 22824 22860 25360 28530 30480 38040 40259 45648 45720 57060 76080 80518 91440 114120 120777 161036 201295 228240 241554 322072 362331 402590 483108 603885 644144 724662 805180 966216 1207770 1449324 1610360 1811655 1932432 2415540 2898648 3220720 3623310 4831080 5797296 7246620 9662160 14493240 28986480