1345400928 has 120 divisors (see below), whose sum is σ = 3971887920. Its totient is φ = 446757120.

The previous prime is 1345400891. The next prime is 1345400941. The reversal of 1345400928 is 8290045431.

It is a super-2 number, since 2×1345400928² = 3620207314126522368, which contains 22 as substring.

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 = 1345400892 and 1345400901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 805278 + ... + 806946.

It is an arithmetic number, because the mean of its divisors is an integer number (33099066).

Almost surely, 2^1345400928 is an apocalyptic number.

1345400928 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 1345400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985943960).

1345400928 is an abundant number, since it is smaller than the sum of its proper divisors (2626486992).

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

1345400928 is a wasteful number, since it uses less digits than its factorization.

1345400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1345400928 is about 36679.7073052662. The cubic root of 1345400928 is about 1103.9529753127.

The spelling of 1345400928 in words is "one billion, three hundred forty-five million, four hundred thousand, nine hundred twenty-eight".