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28951153920 = 283351364439
BaseRepresentation
bin11010111101100111…
…111000110100000000
32202201122201000001000
4122331213320310000
5433242443411140
621144443412000
72043302514363
oct327547706400
982648630030
1028951153920
1111307198497
12573b824000
132964cb4b10
1415890240da
15b469e9a30
hex6bd9f8d00

28951153920 has 288 divisors, whose sum is σ = 110640902400. Its totient is φ = 7126327296.

The previous prime is 28951153871. The next prime is 28951153927. The reversal of 28951153920 is 2935115982.

28951153920 is a `hidden beast` number, since 2 + 8 + 95 + 1 + 1 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (28951153927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417061 + ... + 481499.

It is an arithmetic number, because the mean of its divisors is an integer number (384169800).

Almost surely, 228951153920 is an apocalyptic number.

28951153920 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 28951153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55320451200).

28951153920 is an abundant number, since it is smaller than the sum of its proper divisors (81689748480).

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

28951153920 is a wasteful number, since it uses less digits than its factorization.

28951153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64482 (or 64462 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 28951153920 in words is "twenty-eight billion, nine hundred fifty-one million, one hundred fifty-three thousand, nine hundred twenty".