1072700928 has 320 divisors, whose sum is σ = 3519774720. Its totient is φ = 320495616.

The previous prime is 1072700927. The next prime is 1072700939. The reversal of 1072700928 is 8290072701.

It is a super-2 number, since 2×1072700928² = 2301374561864122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1072700892 and 1072700901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072700927) 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, 8446401 + ... + 8446527.

It is an arithmetic number, because the mean of its divisors is an integer number (10999296).

Almost surely, 2^1072700928 is an apocalyptic number.

1072700928 is a gapful number since it is divisible by the number (18) 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 1072700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759887360).

1072700928 is an abundant number, since it is smaller than the sum of its proper divisors (2447073792).

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

1072700928 is a wasteful number, since it uses less digits than its factorization.

1072700928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1072700928 is about 32752.1133363940. The cubic root of 1072700928 is about 1023.6690010920.

The spelling of 1072700928 in words is "one billion, seventy-two million, seven hundred thousand, nine hundred twenty-eight".