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28898600 = 23521311103
BaseRepresentation
bin110111000111…
…1010100101000
32000101012102112
41232033110220
524344223400
62511221452
7500430323
oct156172450
960335375
1028898600
1115348a45
129817888
135caa883
143ba37ba
15280c835
hex1b8f528

28898600 has 48 divisors (see below), whose sum is σ = 67763520. Its totient is φ = 11460800.

The previous prime is 28898599. The next prime is 28898609. The reversal of 28898600 is 689882.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28898609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25649 + ... + 26751.

It is an arithmetic number, because the mean of its divisors is an integer number (1411740).

Almost surely, 228898600 is an apocalyptic number.

28898600 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 28898600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33881760).

28898600 is an abundant number, since it is smaller than the sum of its proper divisors (38864920).

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

28898600 is a wasteful number, since it uses less digits than its factorization.

28898600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 28898600 is about 5375.7418092762. The cubic root of 28898600 is about 306.8731805800.

The spelling of 28898600 in words is "twenty-eight million, eight hundred ninety-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1103 1310 2206 2620 3275 4412 5240 5515 6550 8824 11030 13100 22060 26200 27575 44120 55150 110300 144493 220600 288986 577972 722465 1155944 1444930 2889860 3612325 5779720 7224650 14449300 28898600