280038528 has 432 divisors, whose sum is σ = 1055502630. Its totient is φ = 70963200.

The previous prime is 280038527. The next prime is 280038541. The reversal of 280038528 is 825830082.

It can be written as a sum of positive squares in only one way, i.e., 276623424 + 3415104 = 16632^2 + 1848^2 .

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 = 280038492 and 280038501.

It is not an unprimeable number, because it can be changed into a prime (280038527) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6830188 + ... + 6830228.

Almost surely, 2^280038528 is an apocalyptic number.

280038528 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 280038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527751315).

280038528 is an abundant number, since it is smaller than the sum of its proper divisors (775464102).

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

280038528 is a wasteful number, since it uses less digits than its factorization.

280038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 280038528 is about 16734.3517352779. The cubic root of 280038528 is about 654.2432672431.

It can be divided in two parts, 2800 and 38528, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 280038528 in words is "two hundred eighty million, thirty-eight thousand, five hundred twenty-eight".