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28292972058 = 23313173122467
BaseRepresentation
bin11010010110011001…
…000111111000011010
32201000210012220021000
4122112121013320122
5430421000101213
620555252325430
72021061203001
oct322631077032
981023186230
1028292972058
1110aa971073a
125597313876
13288b8279b0
141525853c38
15b08d37c73
hex696647e1a

28292972058 has 192 divisors, whose sum is σ = 74109893760. Its totient is φ = 7925921280.

The previous prime is 28292971997. The next prime is 28292972069. The reversal of 28292972058 is 85027929282.

28292972058 is a `hidden beast` number, since 282 + 9 + 297 + 20 + 58 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28292971995 and 28292972013.

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, 11467341 + ... + 11469807.

It is an arithmetic number, because the mean of its divisors is an integer number (385989030).

Almost surely, 228292972058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28292972058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37054946880).

28292972058 is an abundant number, since it is smaller than the sum of its proper divisors (45816921702).

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

28292972058 is a wasteful number, since it uses less digits than its factorization.

28292972058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28292972058 in words is "twenty-eight billion, two hundred ninety-two million, nine hundred seventy-two thousand, fifty-eight".