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28414062500 = 22593637
BaseRepresentation
bin11010011101100111…
…000010111110100100
32201100020001221010012
4122131213002332210
5431143000000000
621015255545352
72024061355235
oct323547027644
981306057105
1028414062500
1111060aa778a
12560b98b258
1328aa944045
14153797508c
15b147a6735
hex69d9c2fa4

28414062500 has 60 divisors (see below), whose sum is σ = 62172845196. Its totient is φ = 11362500000.

The previous prime is 28414062499. The next prime is 28414062503. The reversal of 28414062500 is 526041482.

It can be written as a sum of positive squares in 10 ways, for example, as 754381156 + 27659681344 = 27466^2 + 166312^2 .

It is not an unprimeable number, because it can be changed into a prime (28414062503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7810682 + ... + 7814318.

Almost surely, 228414062500 is an apocalyptic number.

28414062500 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 28414062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31086422598).

28414062500 is an abundant number, since it is smaller than the sum of its proper divisors (33758782696).

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

28414062500 is an frugal number, since it uses more digits than its factorization.

28414062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 28414062500 in words is "twenty-eight billion, four hundred fourteen million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 3637 6250 7274 12500 14548 15625 18185 31250 36370 62500 72740 78125 90925 156250 181850 312500 363700 390625 454625 781250 909250 1562500 1818500 1953125 2273125 3906250 4546250 7812500 9092500 11365625 22731250 45462500 56828125 113656250 227312500 284140625 568281250 1136562500 1420703125 2841406250 5682812500 7103515625 14207031250 28414062500