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28804200 = 2335261787
BaseRepresentation
bin110110111100…
…0010001101000
32000012101221020
41231320101220
524333213300
62505212440
7466555155
oct155702150
960171836
1028804200
1115294027
129791120
135c76909
143b7b22c
1527de8a0
hex1b78468

28804200 has 96 divisors (see below), whose sum is σ = 90872160. Its totient is φ = 7545600.

The previous prime is 28804199. The next prime is 28804207. The reversal of 28804200 is 240882.

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

It is not an unprimeable number, because it can be changed into a prime (28804207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36207 + ... + 36993.

It is an arithmetic number, because the mean of its divisors is an integer number (946585).

Almost surely, 228804200 is an apocalyptic number.

28804200 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 28804200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45436080).

28804200 is an abundant number, since it is smaller than the sum of its proper divisors (62067960).

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

28804200 is a wasteful number, since it uses less digits than its factorization.

28804200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28804200 is about 5366.9544436300. The cubic root of 28804200 is about 306.5386726943.

The spelling of 28804200 in words is "twenty-eight million, eight hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 787 915 1220 1464 1525 1574 1830 2361 2440 3050 3148 3660 3935 4575 4722 6100 6296 7320 7870 9150 9444 11805 12200 15740 18300 18888 19675 23610 31480 36600 39350 47220 48007 59025 78700 94440 96014 118050 144021 157400 192028 236100 240035 288042 384056 472200 480070 576084 720105 960140 1152168 1200175 1440210 1920280 2400350 2880420 3600525 4800700 5760840 7201050 9601400 14402100 28804200