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28412160 = 283572151
BaseRepresentation
bin110110001100…
…0100100000000
31222110111011020
41230120210000
524233142120
62452545440
7463333200
oct154304400
958414136
1028412160
1115046527
129622280
135b6a33a
143ab8400
152763640
hex1b18900

28412160 has 216 divisors, whose sum is σ = 106255296. Its totient is φ = 6451200.

The previous prime is 28412159. The next prime is 28412183. The reversal of 28412160 is 6121482.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 28412160.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188085 + ... + 188235.

Almost surely, 228412160 is an apocalyptic number.

28412160 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 28412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53127648).

28412160 is an abundant number, since it is smaller than the sum of its proper divisors (77843136).

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

28412160 is a wasteful number, since it uses less digits than its factorization.

28412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28412160 is about 5330.3058073623. The cubic root of 28412160 is about 305.1415986786.

The spelling of 28412160 in words is "twenty-eight million, four hundred twelve thousand, one hundred sixty".