1978624128 has 256 divisors, whose sum is σ = 6223795200. Its totient is φ = 551079936.

The previous prime is 1978624111. The next prime is 1978624133. The reversal of 1978624128 is 8214268791.

It is a happy number.

1978624128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181051 + ... + 2181957.

It is an arithmetic number, because the mean of its divisors is an integer number (24311700).

Almost surely, 2^1978624128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1978624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111897600).

1978624128 is an abundant number, since it is smaller than the sum of its proper divisors (4245171072).

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

1978624128 is a wasteful number, since it uses less digits than its factorization.

1978624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 967 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 1978624128 is about 44481.7280239876. The cubic root of 1978624128 is about 1255.4163109364.

The spelling of 1978624128 in words is "one billion, nine hundred seventy-eight million, six hundred twenty-four thousand, one hundred twenty-eight".