44628757920 has 288 divisors, whose sum is σ = 158327664768. Its totient is φ = 11871525888.

The previous prime is 44628757907. The next prime is 44628757937. The reversal of 44628757920 is 2975782644.

44628757920 is a `hidden beast` number, since 4 + 4 + 62 + 8 + 7 + 579 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18933382 + ... + 18935738.

It is an arithmetic number, because the mean of its divisors is an integer number (549748836).

Almost surely, 2^44628757920 is an apocalyptic number.

44628757920 is a gapful number since it is divisible by the number (40) 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 44628757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79163832384).

44628757920 is an abundant number, since it is smaller than the sum of its proper divisors (113698906848).

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

44628757920 is a wasteful number, since it uses less digits than its factorization.

44628757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 44628757920 in words is "forty-four billion, six hundred twenty-eight million, seven hundred fifty-seven thousand, nine hundred twenty".