1988767872 has 384 divisors, whose sum is σ = 7182040320. Its totient is φ = 514252800.

The previous prime is 1988767861. The next prime is 1988767873. The reversal of 1988767872 is 2787678891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1988767873) 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 47 ways as a sum of consecutive naturals, for example, 6394597 + ... + 6394907.

It is an arithmetic number, because the mean of its divisors is an integer number (18703230).

Almost surely, 2^1988767872 is an apocalyptic number.

1988767872 is a gapful number since it is divisible by the number (12) 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 1988767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591020160).

1988767872 is an abundant number, since it is smaller than the sum of its proper divisors (5193272448).

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

1988767872 is a wasteful number, since it uses less digits than its factorization.

1988767872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 63.

The square root of 1988767872 is about 44595.6037295158. The cubic root of 1988767872 is about 1257.5580216355.

The spelling of 1988767872 in words is "one billion, nine hundred eighty-eight million, seven hundred sixty-seven thousand, eight hundred seventy-two".