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28962385920 = 212345131779
BaseRepresentation
bin11010111110010010…
…101111000000000000
32202202102211122110000
4122332102233000000
5433303332322140
621145524240000
72043500134626
oct327622570000
982672748400
1028962385920
111131256a236
125743540000
132967418380
14158a709516
15b479b7a30
hex6be4af000

28962385920 has 1040 divisors, whose sum is σ = 119884786560. Its totient is φ = 6624903168.

The previous prime is 28962385913. The next prime is 28962385931. The reversal of 28962385920 is 2958326982.

28962385920 is a `hidden beast` number, since 2 + 8 + 9 + 623 + 8 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366612441 + ... + 366612519.

Almost surely, 228962385920 is an apocalyptic number.

28962385920 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 28962385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59942393280).

28962385920 is an abundant number, since it is smaller than the sum of its proper divisors (90922400640).

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

28962385920 is a wasteful number, since it uses less digits than its factorization.

28962385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28962385920 in words is "twenty-eight billion, nine hundred sixty-two million, three hundred eighty-five thousand, nine hundred twenty".