1478032128 has 216 divisors, whose sum is σ = 4419455040. Its totient is φ = 474839040.

The previous prime is 1478032123. The next prime is 1478032151. The reversal of 1478032128 is 8212308741.

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 = 1478032092 and 1478032101.

It is not an unprimeable number, because it can be changed into a prime (1478032123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11282623 + ... + 11282753.

It is an arithmetic number, because the mean of its divisors is an integer number (20460440).

Almost surely, 2^1478032128 is an apocalyptic number.

1478032128 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 1478032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209727520).

1478032128 is an abundant number, since it is smaller than the sum of its proper divisors (2941422912).

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

1478032128 is a wasteful number, since it uses less digits than its factorization.

1478032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1478032128 is about 38445.1834174322. The cubic root of 1478032128 is about 1139.0985301829.

The spelling of 1478032128 in words is "one billion, four hundred seventy-eight million, thirty-two thousand, one hundred twenty-eight".