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28439449600 = 21252172312
BaseRepresentation
bin11010011111000111…
…111001000000000000
32201101222211201200011
4122133013321000000
5431220444341400
621022004034304
72024520222142
oct323707710000
981358751604
1028439449600
1111074367461
125618392994
1328b2c924b3
14153b0a2c92
15b16b1d8ba
hex69f1f9000

28439449600 has 351 divisors, whose sum is σ = 77408070771. Its totient is φ = 10361241600.

The previous prime is 28439449579. The next prime is 28439449637. The reversal of 28439449600 is 694493482.

The square root of 28439449600 is 168640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 665227264 + 27774222336 = 25792^2 + 166656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 917401585 + ... + 917401615.

Almost surely, 228439449600 is an apocalyptic number.

28439449600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28439449600 is the 168640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28439449600

28439449600 is an abundant number, since it is smaller than the sum of its proper divisors (48968621171).

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

28439449600 is an equidigital number, since it uses as much as digits as its factorization.

28439449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 28439449600 by its sum of digits (49), we get a square (1393533030400 = 11804802).

The spelling of 28439449600 in words is "twenty-eight billion, four hundred thirty-nine million, four hundred forty-nine thousand, six hundred".