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28999400 = 2352612377
BaseRepresentation
bin110111010011…
…1111011101000
32000120022200212
41232213323220
524410440100
62513320252
7501330233
oct156477350
960508625
1028999400
1115407751
129866088
136014711
143bcc41a
15282c635
hex1ba7ee8

28999400 has 48 divisors (see below), whose sum is σ = 68557740. Its totient is φ = 11404800.

The previous prime is 28999367. The next prime is 28999403. The reversal of 28999400 is 499982.

It can be written as a sum of positive squares in 6 ways, for example, as 2353156 + 26646244 = 1534^2 + 5162^2 .

It is not an unprimeable number, because it can be changed into a prime (28999403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11012 + ... + 13388.

Almost surely, 228999400 is an apocalyptic number.

28999400 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 28999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34278870).

28999400 is an abundant number, since it is smaller than the sum of its proper divisors (39558340).

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

28999400 is a wasteful number, since it uses less digits than its factorization.

28999400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 28999400 is about 5385.1090982449. The cubic root of 28999400 is about 307.2295637148.

The spelling of 28999400 in words is "twenty-eight million, nine hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2377 2440 3050 4754 6100 9508 11885 12200 19016 23770 47540 59425 95080 118850 144997 237700 289994 475400 579988 724985 1159976 1449970 2899940 3624925 5799880 7249850 14499700 28999400