387431884728 has 224 divisors, whose sum is σ = 1249277489760. Its totient is φ = 110291984640.

The previous prime is 387431884663. The next prime is 387431884747. The reversal of 387431884728 is 827488134783.

It is a happy number.

387431884728 is a `hidden beast` number, since 3 + 87 + 4 + 3 + 1 + 88 + 472 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11291118 + ... + 11325378.

Almost surely, 2^387431884728 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 387431884728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624638744880).

387431884728 is an abundant number, since it is smaller than the sum of its proper divisors (861845605032).

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

387431884728 is a wasteful number, since it uses less digits than its factorization.

387431884728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34569 (or 34550 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 387431884728 in words is "three hundred eighty-seven billion, four hundred thirty-one million, eight hundred eighty-four thousand, seven hundred twenty-eight".