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28670976000 = 21333531761
BaseRepresentation
bin11010101100111011…
…000110000000000000
32202000010111111012000
4122230323012000000
5432204232213000
621100554304000
72033331163212
oct325473060000
982003444160
1028670976000
1111183022697
125681a28000
13291bc37474
14155db305b2
15b2c104000
hex6acec6000

28670976000 has 896 divisors, whose sum is σ = 114088590720. Its totient is φ = 7077888000.

The previous prime is 28670975999. The next prime is 28670976001. The reversal of 28670976000 is 67907682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28670975999) and next prime (28670976001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28670976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470015970 + ... + 470016030.

Almost surely, 228670976000 is an apocalyptic number.

28670976000 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 28670976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57044295360).

28670976000 is an abundant number, since it is smaller than the sum of its proper divisors (85417614720).

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

28670976000 is an equidigital number, since it uses as much as digits as its factorization.

28670976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 28670976000 in words is "twenty-eight billion, six hundred seventy million, nine hundred seventy-six thousand".