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28958195448 = 233271323593257
BaseRepresentation
bin11010111110000010…
…101111111011111000
32202202010221202012100
4122332002233323320
5433301244223243
621145254343400
72043416412540
oct327602577370
982663852170
1028958195448
1111310167936
12574205ab60
1329665abbc0
141589d38320
15b4743b0d3
hex6be0afef8

28958195448 has 384 divisors, whose sum is σ = 102462796800. Its totient is φ = 7179245568.

The previous prime is 28958195417. The next prime is 28958195477. The reversal of 28958195448 is 84459185982.

28958195448 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 81 + 9 + 544 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8889436 + ... + 8892692.

It is an arithmetic number, because the mean of its divisors is an integer number (266830200).

Almost surely, 228958195448 is an apocalyptic number.

28958195448 is a gapful number since it is divisible by the number (28) 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 28958195448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51231398400).

28958195448 is an abundant number, since it is smaller than the sum of its proper divisors (73504601352).

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

28958195448 is a wasteful number, since it uses less digits than its factorization.

28958195448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3364 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 28958195448 in words is "twenty-eight billion, nine hundred fifty-eight million, one hundred ninety-five thousand, four hundred forty-eight".