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28385100 = 22335210513
BaseRepresentation
bin110110001000…
…1111101001100
31222102010001000
41230101331030
524231310400
62452220300
7463161252
oct154217514
958363030
1028385100
1115028167
12960a690
135b5ac23
143aac5d2
15275a600
hex1b11f4c

28385100 has 72 divisors (see below), whose sum is σ = 91261520. Its totient is φ = 7568640.

The previous prime is 28385081. The next prime is 28385111. The reversal of 28385100 is 158382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557 + ... + 7956.

Almost surely, 228385100 is an apocalyptic number.

28385100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28385100 is an abundant number, since it is smaller than the sum of its proper divisors (62876420).

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

28385100 is a wasteful number, since it uses less digits than its factorization.

28385100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28385100 is about 5327.7668867923. The cubic root of 28385100 is about 305.0446946953.

The spelling of 28385100 in words is "twenty-eight million, three hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 10513 21026 31539 42052 52565 63078 94617 105130 126156 157695 189234 210260 262825 283851 315390 378468 473085 525650 567702 630780 788475 946170 1051300 1135404 1419255 1576950 1892340 2365425 2838510 3153900 4730850 5677020 7096275 9461700 14192550 28385100