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28466172000 = 2532537374371
BaseRepresentation
bin11010100000101101…
…110101000001100000
32201110212010100220200
4122200231311001200
5431244320001000
621024400505200
72025263320050
oct324055650140
981425110820
1028466172000
1111088459392
12562531b200
1328b868a676
14154085b560
15b1914b500
hex6a0b75060

28466172000 has 1152 divisors, whose sum is σ = 123045931008. Its totient is φ = 6096384000.

The previous prime is 28466171999. The next prime is 28466172023. The reversal of 28466172000 is 27166482.

28466172000 is a `hidden beast` number, since 28 + 466 + 172 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 400931965 + ... + 400932035.

It is an arithmetic number, because the mean of its divisors is an integer number (106810704).

Almost surely, 228466172000 is an apocalyptic number.

28466172000 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 28466172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61522965504).

28466172000 is an abundant number, since it is smaller than the sum of its proper divisors (94579759008).

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

28466172000 is a wasteful number, since it uses less digits than its factorization.

28466172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28466172000 in words is "twenty-eight billion, four hundred sixty-six million, one hundred seventy-two thousand".