987978432 has 224 divisors, whose sum is σ = 3221028864. Its totient is φ = 261043200.

The previous prime is 987978421. The next prime is 987978437. The reversal of 987978432 is 234879789.

987978432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×987978432² = 1952202764194357248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (987978437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957757 + ... + 958787.

Almost surely, 2^987978432 is an apocalyptic number.

987978432 is a gapful number since it is divisible by the number (92) 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 987978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610514432).

987978432 is an abundant number, since it is smaller than the sum of its proper divisors (2233050432).

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

987978432 is a wasteful number, since it uses less digits than its factorization.

987978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 987978432 is about 31432.1242043868. The cubic root of 987978432 is about 995.9766449903.

The spelling of 987978432 in words is "nine hundred eighty-seven million, nine hundred seventy-eight thousand, four hundred thirty-two".