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28940400 = 2432528039
BaseRepresentation
bin110111001100…
…1100001110000
32000110022202200
41232121201300
524402043100
62512143200
7500663226
oct156314160
960408680
1028940400
1115377395
129837b00
135cc38c8
143bb4b16
152819e00
hex1b99870

28940400 has 90 divisors (see below), whose sum is σ = 100443720. Its totient is φ = 7716480.

The previous prime is 28940399. The next prime is 28940423. The reversal of 28940400 is 404982.

It is a tau number, because it is divible by the number of its divisors (90).

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, 420 + ... + 7619.

Almost surely, 228940400 is an apocalyptic number.

28940400 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 28940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221860).

28940400 is an abundant number, since it is smaller than the sum of its proper divisors (71503320).

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

28940400 is a wasteful number, since it uses less digits than its factorization.

28940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28940400 is about 5379.6282399437. The cubic root of 28940400 is about 307.0210668592.

The spelling of 28940400 in words is "twenty-eight million, nine hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 8039 16078 24117 32156 40195 48234 64312 72351 80390 96468 120585 128624 144702 160780 192936 200975 241170 289404 321560 361755 385872 401950 482340 578808 602925 643120 723510 803900 964680 1157616 1205850 1447020 1607800 1808775 1929360 2411700 2894040 3215600 3617550 4823400 5788080 7235100 9646800 14470200 28940400