4920190128 has 320 divisors, whose sum is σ = 16691788800. Its totient is φ = 1375605504.

The previous prime is 4920190123. The next prime is 4920190129. The reversal of 4920190128 is 8210910294.

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 = 4920190092 and 4920190101.

It is not an unprimeable number, because it can be changed into a prime (4920190123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12981843 + ... + 12982221.

It is an arithmetic number, because the mean of its divisors is an integer number (52161840).

Almost surely, 2^4920190128 is an apocalyptic number.

4920190128 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 4920190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345894400).

4920190128 is an abundant number, since it is smaller than the sum of its proper divisors (11771598672).

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

4920190128 is an equidigital number, since it uses as much as digits as its factorization.

4920190128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4920190128 is about 70144.0669479608. The cubic root of 4920190128 is about 1700.8289069536.

The spelling of 4920190128 in words is "four billion, nine hundred twenty million, one hundred ninety thousand, one hundred twenty-eight".