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28430366976 = 283211171923151
BaseRepresentation
bin11010011110100101…
…001111100100000000
32201101100202021122200
4122132211033210000
5431211133220401
621021041233200
72024350063164
oct323645174400
981340667580
1028430366976
111106a223560
125615332800
1328b113236b
141539bbaca4
15b15e27686
hex69e94f900

28430366976 has 864 divisors, whose sum is σ = 104689428480. Its totient is φ = 7299072000.

The previous prime is 28430366971. The next prime is 28430366983. The reversal of 28430366976 is 67966303482.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28430366971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188280501 + ... + 188280651.

It is an arithmetic number, because the mean of its divisors is an integer number (121168320).

Almost surely, 228430366976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28430366976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344714240).

28430366976 is an abundant number, since it is smaller than the sum of its proper divisors (76259061504).

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

28430366976 is a wasteful number, since it uses less digits than its factorization.

28430366976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 28430366976 in words is "twenty-eight billion, four hundred thirty million, three hundred sixty-six thousand, nine hundred seventy-six".