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28375300 = 2252377669
BaseRepresentation
bin110110000111…
…1100100000100
31222101121121001
41230033210010
524231002200
62452103044
7463120552
oct154174404
958347531
1028375300
1115020868
129604a84
135b56625
143aa8bd2
15275776a
hex1b0f904

28375300 has 36 divisors (see below), whose sum is σ = 63246820. Its totient is φ = 11041920.

The previous prime is 28375297. The next prime is 28375343. The reversal of 28375300 is 357382.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 24780484 = 1896^2 + 4978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135 + ... + 7534.

Almost surely, 228375300 is an apocalyptic number.

28375300 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 28375300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31623410).

28375300 is an abundant number, since it is smaller than the sum of its proper divisors (34871520).

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

28375300 is a wasteful number, since it uses less digits than its factorization.

28375300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 28375300 is about 5326.8470974865. The cubic root of 28375300 is about 305.0095849357.

The spelling of 28375300 in words is "twenty-eight million, three hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 7669 15338 30676 38345 76690 153380 191725 283753 383450 567506 766900 1135012 1418765 2837530 5675060 7093825 14187650 28375300