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28269400 = 23521071321
BaseRepresentation
bin110101111010…
…1101101011000
31222012020022211
41223311231120
524214110100
62445524504
7462200035
oct153655530
958166284
1028269400
1114a59245
129573734
135b1a373
143a7c38c
1527361ba
hex1af5b58

28269400 has 48 divisors (see below), whose sum is σ = 66390840. Its totient is φ = 11193600.

The previous prime is 28269379. The next prime is 28269401. The reversal of 28269400 is 496282.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28269401) 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, 20740 + ... + 22060.

Almost surely, 228269400 is an apocalyptic number.

28269400 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 28269400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33195420).

28269400 is an abundant number, since it is smaller than the sum of its proper divisors (38121440).

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

28269400 is a wasteful number, since it uses less digits than its factorization.

28269400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 28269400 is about 5316.8975916412. The cubic root of 28269400 is about 304.6296678753.

The spelling of 28269400 in words is "twenty-eight million, two hundred sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 1321 2140 2642 2675 4280 5284 5350 6605 10568 10700 13210 21400 26420 33025 52840 66050 132100 141347 264200 282694 565388 706735 1130776 1413470 2826940 3533675 5653880 7067350 14134700 28269400