1432400928 has 192 divisors, whose sum is σ = 4496083200. Its totient is φ = 398899200.

The previous prime is 1432400873. The next prime is 1432400953. The reversal of 1432400928 is 8290042341.

It is a super-2 number, since 2×1432400928² = 4103544837070522368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349518 + ... + 1350578.

It is an arithmetic number, because the mean of its divisors is an integer number (23417100).

Almost surely, 2^1432400928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1432400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248041600).

1432400928 is an abundant number, since it is smaller than the sum of its proper divisors (3063682272).

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

1432400928 is a wasteful number, since it uses less digits than its factorization.

1432400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1432400928 is about 37847.0729119175. The cubic root of 1432400928 is about 1127.2533411922.

The spelling of 1432400928 in words is "one billion, four hundred thirty-two million, four hundred thousand, nine hundred twenty-eight".