1072889280 has 224 divisors, whose sum is σ = 3950208000. Its totient is φ = 273613824.

The previous prime is 1072889267. The next prime is 1072889281. The reversal of 1072889280 is 829882701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072889281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196021 + ... + 201419.

Almost surely, 2^1072889280 is an apocalyptic number.

1072889280 is a gapful number since it is divisible by the number (10) 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 1072889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

1072889280 is an abundant number, since it is smaller than the sum of its proper divisors (2877318720).

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

1072889280 is a wasteful number, since it uses less digits than its factorization.

1072889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1072889280 is about 32754.9886276885. The cubic root of 1072889280 is about 1023.7289118011.

The spelling of 1072889280 in words is "one billion, seventy-two million, eight hundred eighty-nine thousand, two hundred eighty".