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28258400 = 255235323
BaseRepresentation
bin110101111001…
…1000001100000
31222011200020102
41223303001200
524213232100
62445401532
7462123002
oct153630140
958150212
1028258400
1114a50a55
1295692a8
135b15361
143a78372
152732cd5
hex1af3060

28258400 has 36 divisors (see below), whose sum is σ = 68987772. Its totient is φ = 11303040.

The previous prime is 28258387. The next prime is 28258409. The reversal of 28258400 is 485282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28258409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 16862 + ... + 18461.

It is an arithmetic number, because the mean of its divisors is an integer number (1916327).

Almost surely, 228258400 is an apocalyptic number.

28258400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28258400 is an abundant number, since it is smaller than the sum of its proper divisors (40729372).

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

28258400 is a wasteful number, since it uses less digits than its factorization.

28258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35343 (or 35330 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 28258400 is about 5315.8630531646. The cubic root of 28258400 is about 304.5901509292.

The spelling of 28258400 in words is "twenty-eight million, two hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 35323 70646 141292 176615 282584 353230 565168 706460 883075 1130336 1412920 1766150 2825840 3532300 5651680 7064600 14129200 28258400