1949920128 has 640 divisors, whose sum is σ = 7091219520. Its totient is φ = 525533184.

The previous prime is 1949920121. The next prime is 1949920177. The reversal of 1949920128 is 8210299491.

1949920128 is a `hidden beast` number, since 19 + 499 + 20 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949920121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52700526 + ... + 52700562.

Almost surely, 2^1949920128 is an apocalyptic number.

1949920128 is a gapful number since it is divisible by the number (18) 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 1949920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545609760).

1949920128 is an abundant number, since it is smaller than the sum of its proper divisors (5141299392).

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

1949920128 is a wasteful number, since it uses less digits than its factorization.

1949920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1949920128 is about 44157.8999500656. The cubic root of 1949920128 is about 1249.3159196689.

The spelling of 1949920128 in words is "one billion, nine hundred forty-nine million, nine hundred twenty thousand, one hundred twenty-eight".