9428027400 has 480 divisors, whose sum is σ = 36038407680. Its totient is φ = 2265408000.

The previous prime is 9428027381. The next prime is 9428027431. The reversal of 9428027400 is 47208249.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34036062 + ... + 34036338.

It is an arithmetic number, because the mean of its divisors is an integer number (75080016).

Almost surely, 2^9428027400 is an apocalyptic number.

9428027400 is a gapful number since it is divisible by the number (90) 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 9428027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019203840).

9428027400 is an abundant number, since it is smaller than the sum of its proper divisors (26610380280).

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

9428027400 is a wasteful number, since it uses less digits than its factorization.

9428027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9428027400 is about 97098.0298461302. The cubic root of 9428027400 is about 2112.5497503543.

The spelling of 9428027400 in words is "nine billion, four hundred twenty-eight million, twenty-seven thousand, four hundred".