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28986900 = 22352234201
BaseRepresentation
bin110111010010…
…0111000010100
32000112200112220
41232210320110
524410040100
62513142340
7501245625
oct156447024
960480486
1028986900
11153a9318
12985a9b0
13600bb17
143bc7a4c
152828aa0
hex1ba4e14

28986900 has 72 divisors (see below), whose sum is σ = 87536064. Its totient is φ = 7392000.

The previous prime is 28986889. The next prime is 28986901. The reversal of 28986900 is 968982.

It is a super-2 number, since 2×289869002 = 1680480743220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28986901) 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, 4800 + ... + 9000.

Almost surely, 228986900 is an apocalyptic number.

28986900 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 28986900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43768032).

28986900 is an abundant number, since it is smaller than the sum of its proper divisors (58549164).

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

28986900 is a wasteful number, since it uses less digits than its factorization.

28986900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 28986900 is about 5383.9483652799. The cubic root of 28986900 is about 307.1854142787.

The spelling of 28986900 in words is "twenty-eight million, nine hundred eighty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 4201 6900 8402 12603 16804 21005 25206 42010 50412 63015 84020 96623 105025 126030 193246 210050 252060 289869 315075 386492 420100 483115 579738 630150 966230 1159476 1260300 1449345 1932460 2415575 2898690 4831150 5797380 7246725 9662300 14493450 28986900