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28532000 = 255371019
BaseRepresentation
bin110110011010…
…1110100100000
31222200120112202
41230311310200
524301011000
62455312332
7464342450
oct154656440
958616482
1028532000
1115118572
12967b6a8
135baca53
143b09d60
152788dd5
hex1b35d20

28532000 has 96 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 9772800.

The previous prime is 28531999. The next prime is 28532003. The reversal of 28532000 is 23582.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (28532003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27491 + ... + 28509.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 228532000 is an apocalyptic number.

28532000 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 28532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

28532000 is an abundant number, since it is smaller than the sum of its proper divisors (51664480).

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

28532000 is a wasteful number, since it uses less digits than its factorization.

28532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 28532000 is about 5341.5353598006. The cubic root of 28532000 is about 305.5700170688.

Adding to 28532000 its reverse (23582), we get a palindrome (28555582).

The spelling of 28532000 in words is "twenty-eight million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1019 1120 1400 1750 2000 2038 2800 3500 4000 4076 5095 5600 7000 7133 8152 10190 14000 14266 16304 20380 25475 28000 28532 32608 35665 40760 50950 57064 71330 81520 101900 114128 127375 142660 163040 178325 203800 228256 254750 285320 356650 407600 509500 570640 713300 815200 891625 1019000 1141280 1426600 1783250 2038000 2853200 3566500 4076000 5706400 7133000 14266000 28532000