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28693467432 = 23337461907
BaseRepresentation
bin11010101110010000…
…111001000100101000
32202001200211011122000
4122232100321010220
5432231011424212
621103120331000
72034023310000
oct325620710450
982050734560
1028693467432
1111194794853
125689473a60
1329237b08c6
141562b07000
15b2e0981dc
hex6ae439128

28693467432 has 320 divisors, whose sum is σ = 94611057600. Its totient is φ = 8054847360.

The previous prime is 28693467431. The next prime is 28693467433. The reversal of 28693467432 is 23476439682.

28693467432 is a `hidden beast` number, since 2 + 86 + 93 + 46 + 7 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (28693467431) and next prime (28693467433).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28693467431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31635123 + ... + 31636029.

It is an arithmetic number, because the mean of its divisors is an integer number (295659555).

Almost surely, 228693467432 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 28693467432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47305528800).

28693467432 is an abundant number, since it is smaller than the sum of its proper divisors (65917590168).

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

28693467432 is an equidigital number, since it uses as much as digits as its factorization.

28693467432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 980 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 28693467432 in words is "twenty-eight billion, six hundred ninety-three million, four hundred sixty-seven thousand, four hundred thirty-two".