4401800928 has 288 divisors, whose sum is σ = 15046002720. Its totient is φ = 1248307200.

The previous prime is 4401800911. The next prime is 4401800957. The reversal of 4401800928 is 8290081044.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4401800928² = 38751702819483322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4401800892 and 4401800901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7323828 + ... + 7324428.

It is an arithmetic number, because the mean of its divisors is an integer number (52243065).

Almost surely, 2^4401800928 is an apocalyptic number.

4401800928 is a gapful number since it is divisible by the number (48) 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 4401800928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523001360).

4401800928 is an abundant number, since it is smaller than the sum of its proper divisors (10644201792).

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

4401800928 is a wasteful number, since it uses less digits than its factorization.

4401800928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4401800928 is about 66346.0694238928. The cubic root of 4401800928 is about 1638.8660771633.

The spelling of 4401800928 in words is "four billion, four hundred one million, eight hundred thousand, nine hundred twenty-eight".