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28370900 = 2252532101
BaseRepresentation
bin110110000111…
…0011111010100
31222101101120002
41230032133110
524230332100
62452030432
7463101665
oct154163724
958341502
1028370900
1115018528
129602418
135b5461c
143aa736c
1527562d5
hex1b0e7d4

28370900 has 54 divisors (see below), whose sum is σ = 63369642. Its totient is φ = 11024000.

The previous prime is 28370887. The next prime is 28370929. The reversal of 28370900 is 907382.

It can be written as a sum of positive squares in 9 ways, for example, as 4624 + 28366276 = 68^2 + 5326^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 280850 + ... + 280950.

Almost surely, 228370900 is an apocalyptic number.

28370900 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 28370900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31684821).

28370900 is an abundant number, since it is smaller than the sum of its proper divisors (34998742).

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

28370900 is a wasteful number, since it uses less digits than its factorization.

28370900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 28370900 is about 5326.4340791941. The cubic root of 28370900 is about 304.9938187406.

The spelling of 28370900 in words is "twenty-eight million, three hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 101 106 202 212 265 404 505 530 1010 1060 1325 2020 2525 2650 2809 5050 5300 5353 5618 10100 10706 11236 14045 21412 26765 28090 53530 56180 70225 107060 133825 140450 267650 280900 283709 535300 567418 1134836 1418545 2837090 5674180 7092725 14185450 28370900