928643861376 has 1536 divisors, whose sum is σ = 3698634240000. Its totient is φ = 223844290560.

The previous prime is 928643861359. The next prime is 928643861389. The reversal of 928643861376 is 673168346829.

928643861376 is a `hidden beast` number, since 9 + 2 + 8 + 6 + 4 + 3 + 8 + 613 + 7 + 6 = 666.

928643861376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×928643861376² (a number of 25 digits) contains 22 as substring.

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.

Its product of digits (62705664) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3281426931 + ... + 3281427213.

It is an arithmetic number, because the mean of its divisors is an integer number (2407965000).

Almost surely, 2^928643861376 is an apocalyptic number.

928643861376 is a gapful number since it is divisible by the number (96) 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 928643861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849317120000).

928643861376 is an abundant number, since it is smaller than the sum of its proper divisors (2769990378624).

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

928643861376 is a wasteful number, since it uses less digits than its factorization.

928643861376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 928643861376 in words is "nine hundred twenty-eight billion, six hundred forty-three million, eight hundred sixty-one thousand, three hundred seventy-six".