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28749400 = 2352314637
BaseRepresentation
bin110110110101…
…0111001011000
32000002121202121
41231222321120
524324440100
62504111024
7466236331
oct155527130
960077677
1028749400
1115256939
129765474
135c579a4
143b65288
1527cd51a
hex1b6ae58

28749400 has 48 divisors (see below), whose sum is σ = 69013440. Its totient is φ = 11126400.

The previous prime is 28749389. The next prime is 28749419. The reversal of 28749400 is 494782.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3882 + ... + 8518.

It is an arithmetic number, because the mean of its divisors is an integer number (1437780).

Almost surely, 228749400 is an apocalyptic number.

28749400 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 28749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34506720).

28749400 is an abundant number, since it is smaller than the sum of its proper divisors (40264040).

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

28749400 is a wasteful number, since it uses less digits than its factorization.

28749400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 28749400 is about 5361.8466968014. The cubic root of 28749400 is about 306.3441526420.

The spelling of 28749400 in words is "twenty-eight million, seven hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 4637 6200 9274 18548 23185 37096 46370 92740 115925 143747 185480 231850 287494 463700 574988 718735 927400 1149976 1437470 2874940 3593675 5749880 7187350 14374700 28749400