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28046212740 = 223457131719231
BaseRepresentation
bin11010000111101011…
…110011111010000100
32200101120220020010000
4122013223303322010
5424414312301430
620514555401300
72012003606040
oct320753637204
980346806100
1028046212740
11109923a0817
125528753230
13284c67b370
141500b7d020
15ae2343e60
hex687af3e84

28046212740 has 1440 divisors, whose sum is σ = 124910843904. Its totient is φ = 5106032640.

The previous prime is 28046212739. The next prime is 28046212741. The reversal of 28046212740 is 4721264082.

28046212740 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 621 + 27 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28046212739) and next prime (28046212741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28046212695 and 28046212704.

It is not an unprimeable number, because it can be changed into a prime (28046212741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 904716525 + ... + 904716555.

Almost surely, 228046212740 is an apocalyptic number.

28046212740 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 28046212740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62455421952).

28046212740 is an abundant number, since it is smaller than the sum of its proper divisors (96864631164).

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

28046212740 is a wasteful number, since it uses less digits than its factorization.

28046212740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28046212740 in words is "twenty-eight billion, forty-six million, two hundred twelve thousand, seven hundred forty".