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28422919200 = 25352138571063
BaseRepresentation
bin11010011110001000…
…110101010000100000
32201100211201220020010
4122132020311100200
5431202231403300
621020213444520
72024226553434
oct323610652040
981324656203
1028422919200
1111065aa6975
125612940740
1328ac7253b0
141538bdc9c4
15b15455a50
hex69e235420

28422919200 has 288 divisors, whose sum is σ = 99843359616. Its totient is φ = 6981672960.

The previous prime is 28422919199. The next prime is 28422919211. The reversal of 28422919200 is 291922482.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26737869 + ... + 26738931.

It is an arithmetic number, because the mean of its divisors is an integer number (346678332).

Almost surely, 228422919200 is an apocalyptic number.

28422919200 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 28422919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49921679808).

28422919200 is an abundant number, since it is smaller than the sum of its proper divisors (71420440416).

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

28422919200 is a wasteful number, since it uses less digits than its factorization.

28422919200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 28422919200 in words is "twenty-eight billion, four hundred twenty-two million, nine hundred nineteen thousand, two hundred".