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28857146320 = 2451013571429
BaseRepresentation
bin11010111000000001…
…010001101111010000
32202111002210220212001
4122320001101233100
5433044412140240
621131244443344
72041051460632
oct327001215720
982432726761
1028857146320
111126911a162
125714249554
13294b68ba12
14157a752a52
15b3d62a89a
hex6b8051bd0

28857146320 has 40 divisors (see below), whose sum is σ = 67757169960. Its totient is φ = 11428569600.

The previous prime is 28857146273. The next prime is 28857146323. The reversal of 28857146320 is 2364175882.

It can be written as a sum of positive squares in 4 ways, for example, as 16645128256 + 12212018064 = 129016^2 + 110508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28857146323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777635 + ... + 1793794.

It is an arithmetic number, because the mean of its divisors is an integer number (1693929249).

Almost surely, 228857146320 is an apocalyptic number.

28857146320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28857146320 is an abundant number, since it is smaller than the sum of its proper divisors (38900023640).

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

28857146320 is a wasteful number, since it uses less digits than its factorization.

28857146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571543 (or 3571537 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 28857146320 in words is "twenty-eight billion, eight hundred fifty-seven million, one hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 3571429 7142858 14285716 17857145 28571432 35714290 57142864 71428580 142857160 285714320 360714329 721428658 1442857316 1803571645 2885714632 3607143290 5771429264 7214286580 14428573160 28857146320