42315200928 has 960 divisors, whose sum is σ = 171137691648. Its totient is φ = 9901025280.

The previous prime is 42315200909. The next prime is 42315200929. The reversal of 42315200928 is 82900251324.

It is a happy number.

42315200928 is a `hidden beast` number, since 42 + 3 + 1 + 520 + 0 + 92 + 8 = 666.

42315200928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42315200928² (a number of 22 digits) contains 22 as substring.

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 = 42315200892 and 42315200901.

It is not an unprimeable number, because it can be changed into a prime (42315200929) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121945651 + ... + 121945997.

Almost surely, 2^42315200928 is an apocalyptic number.

42315200928 is a gapful number since it is divisible by the number (48) 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 42315200928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85568845824).

42315200928 is an abundant number, since it is smaller than the sum of its proper divisors (128822490720).

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

42315200928 is a wasteful number, since it uses less digits than its factorization.

42315200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42315200928 in words is "forty-two billion, three hundred fifteen million, two hundred thousand, nine hundred twenty-eight".