4445900928 has 576 divisors, whose sum is σ = 16284897720. Its totient is φ = 1156055040.

The previous prime is 4445900923. The next prime is 4445900947. The reversal of 4445900928 is 8290095444.

It can be written as a sum of positive squares in 4 ways, for example, as 1922647104 + 2523253824 = 43848^2 + 50232^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4445900928² = 39532070123182522368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4445900923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39344200 + ... + 39344312.

Almost surely, 2^4445900928 is an apocalyptic number.

4445900928 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 4445900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142448860).

4445900928 is an abundant number, since it is smaller than the sum of its proper divisors (11838996792).

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

4445900928 is a wasteful number, since it uses less digits than its factorization.

4445900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4445900928 is about 66677.5893985378. The cubic root of 4445900928 is about 1644.3209631383.

The spelling of 4445900928 in words is "four billion, four hundred forty-five million, nine hundred thousand, nine hundred twenty-eight".