1076528400 has 240 divisors, whose sum is σ = 3691531584. Its totient is φ = 267223040.

The previous prime is 1076528399. The next prime is 1076528423. The reversal of 1076528400 is 48256701.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2304967 + ... + 2305433.

Almost surely, 2^1076528400 is an apocalyptic number.

1076528400 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 1076528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845765792).

1076528400 is an abundant number, since it is smaller than the sum of its proper divisors (2615003184).

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

1076528400 is a wasteful number, since it uses less digits than its factorization.

1076528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1076528400 is about 32810.4922242870. The cubic root of 1076528400 is about 1024.8850634557.

The spelling of 1076528400 in words is "one billion, seventy-six million, five hundred twenty-eight thousand, four hundred".