1948128200 has 36 divisors (see below), whose sum is σ = 4530849795. Its totient is φ = 779001600.

The previous prime is 1948128199. The next prime is 1948128251. The reversal of 1948128200 is 28218491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 26357956 + 1921770244 = 5134^2 + 43838^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31210.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 622640 + ... + 625760.

Almost surely, 2^1948128200 is an apocalyptic number.

1948128200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948128200 is an abundant number, since it is smaller than the sum of its proper divisors (2582721595).

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

1948128200 is an frugal number, since it uses more digits than its factorization.

1948128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1948128200 is about 44137.6052816643. The cubic root of 1948128200 is about 1248.9331056482.

The spelling of 1948128200 in words is "one billion, nine hundred forty-eight million, one hundred twenty-eight thousand, two hundred".