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28704100 = 2252417001
BaseRepresentation
bin110110101111…
…1110101100100
32000000022121211
41231133311210
524322012400
62503121204
7465660265
oct155376544
960008554
1028704100
11152258a7
129743204
135c40199
143b5296c
1527bedba
hex1b5fd64

28704100 has 36 divisors (see below), whose sum is σ = 63816228. Its totient is φ = 11200000.

The previous prime is 28704089. The next prime is 28704101. The reversal of 28704100 is 140782.

It can be written as a sum of positive squares in 6 ways, for example, as 5721664 + 22982436 = 2392^2 + 4794^2 .

It is not an unprimeable number, because it can be changed into a prime (28704101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 7600.

It is an arithmetic number, because the mean of its divisors is an integer number (1772673).

Almost surely, 228704100 is an apocalyptic number.

28704100 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 28704100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31908114).

28704100 is an abundant number, since it is smaller than the sum of its proper divisors (35112128).

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

28704100 is a wasteful number, since it uses less digits than its factorization.

28704100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 28704100 is about 5357.6207405900. The cubic root of 28704100 is about 306.1831674238.

Adding to 28704100 its reverse (140782), we get a palindrome (28844882).

The spelling of 28704100 in words is "twenty-eight million, seven hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 7001 14002 28004 35005 70010 140020 175025 287041 350050 574082 700100 1148164 1435205 2870410 5740820 7176025 14352050 28704100