28292742720 has 1008 divisors, whose sum is σ = 115686864384. Its totient is φ = 6569164800.

The previous prime is 28292742719. The next prime is 28292742721. The reversal of 28292742720 is 2724729282.

28292742720 is a `hidden beast` number, since 28 + 292 + 74 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28292742719) and next prime (28292742721).

It is a super-2 number, since 2×28292742720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28292742721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291677712 + ... + 291677808.

Almost surely, 2^28292742720 is an apocalyptic number.

28292742720 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 28292742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57843432192).

28292742720 is an abundant number, since it is smaller than the sum of its proper divisors (87394121664).

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

28292742720 is a wasteful number, since it uses less digits than its factorization.

28292742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28292742720 in words is "twenty-eight billion, two hundred ninety-two million, seven hundred forty-two thousand, seven hundred twenty".