2038505728 has 72 divisors (see below), whose sum is σ = 4714347008. Its totient is φ = 861622272.

The previous prime is 2038505723. The next prime is 2038505737. The reversal of 2038505728 is 8275058302.

It is not an unprimeable number, because it can be changed into a prime (2038505723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123025 + ... + 138607.

Almost surely, 2^2038505728 is an apocalyptic number.

2038505728 is a gapful number since it is divisible by the number (28) 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 2038505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357173504).

2038505728 is an abundant number, since it is smaller than the sum of its proper divisors (2675841280).

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

2038505728 is an equidigital number, since it uses as much as digits as its factorization.

2038505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15679 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 2038505728 is about 45149.8142631839. The cubic root of 2038505728 is about 1267.9554031690.

The spelling of 2038505728 in words is "two billion, thirty-eight million, five hundred five thousand, seven hundred twenty-eight".