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28007100 = 223352112341
BaseRepresentation
bin110101011010…
…1101010111100
31221200220112000
41222311222330
524132211400
62440142300
7460025232
oct152655274
957626460
1028007100
111489a170
129467990
135a57b64
143a10952
1526d3600
hex1ab5abc

28007100 has 288 divisors, whose sum is σ = 104993280. Its totient is φ = 6336000.

The previous prime is 28007099. The next prime is 28007117. The reversal of 28007100 is 170082.

28007100 = 45 + 55 + ... + 235.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683080 + ... + 683120.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 228007100 is an apocalyptic number.

28007100 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 28007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

28007100 is an abundant number, since it is smaller than the sum of its proper divisors (76986180).

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

28007100 is a wasteful number, since it uses less digits than its factorization.

28007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 28007100 is about 5292.1734665447. The cubic root of 28007100 is about 303.6845614252.

Adding to 28007100 its reverse (170082), we get a palindrome (28177182).

The spelling of 28007100 in words is "twenty-eight million, seven thousand, one hundred".