1928534400 has 768 divisors, whose sum is σ = 8127604800. Its totient is φ = 442368000.

The previous prime is 1928534393. The next prime is 1928534407. The reversal of 1928534400 is 44358291.

It is an interprime number because it is at equal distance from previous prime (1928534393) and next prime (1928534407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928534407) 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, 19094350 + ... + 19094450.

Almost surely, 2^1928534400 is an apocalyptic number.

1928534400 is a gapful number since it is divisible by the number (10) 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 1928534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063802400).

1928534400 is an abundant number, since it is smaller than the sum of its proper divisors (6199070400).

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

1928534400 is a wasteful number, since it uses less digits than its factorization.

1928534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

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

The square root of 1928534400 is about 43915.0816918288. The cubic root of 1928534400 is about 1244.7318336637.

The spelling of 1928534400 in words is "one billion, nine hundred twenty-eight million, five hundred thirty-four thousand, four hundred".