1102465728 has 672 divisors, whose sum is σ = 4349130240. Its totient is φ = 268738560.

The previous prime is 1102465723. The next prime is 1102465729. The reversal of 1102465728 is 8275642011.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1102465692 and 1102465701.

It is not an unprimeable number, because it can be changed into a prime (1102465723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26889388 + ... + 26889428.

It is an arithmetic number, because the mean of its divisors is an integer number (6471920).

Almost surely, 2^1102465728 is an apocalyptic number.

1102465728 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 1102465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174565120).

1102465728 is an abundant number, since it is smaller than the sum of its proper divisors (3246664512).

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

1102465728 is a wasteful number, since it uses less digits than its factorization.

1102465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1102465728 is about 33203.3993440431. The cubic root of 1102465728 is about 1033.0508495501.

The spelling of 1102465728 in words is "one billion, one hundred two million, four hundred sixty-five thousand, seven hundred twenty-eight".